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Last updated on May 26th, 2025

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LCM OF 20 and 50

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Least Common Multiple (LCM) is the smallest positive integer that is divisible by both 20 and 50. By learning the following tricks, you can learn the LCM of 20 and 50 easily.

LCM OF 20 and 50 for Indonesian Students
Professor Greenline from BrightChamps

What is the LCM of 20 and 50?

The LCM of 20 and 50 is 100. How did we get to this answer, though? That’s what we’re going to learn. We also see how we can find the LCM of 2 or more numbers in different ways.
 

Professor Greenline from BrightChamps

How to find the LCM of 20 and 50?

We have already read about how you can approach finding the LCM of 2 or more numbers. Here is a list of those methods which make it easy to find the LCMs:


Method 1: Listing of Multiples
Method 2: Prime Factorization
Method 3: Division Method


Now let us delve further into these three methods and how it benefits us.
 

Professor Greenline from BrightChamps

LCM of 20 and 50 Using Listing the Multiples

In this method, we will list all the multiples of 20 and 50. Then we will try to find a multiple that is present in both numbers.


For example,


Multiples of 20: 20,40,60,80,100
Multiples of 50:  50,100,150,200

 

The LCM of 20 and 50 is 100. 100 is the smallest number which can be divisible by both 20 and 50.
 

Professor Greenline from BrightChamps

LCM of 20 and 50 Using Prime Factorization


To find the LCM of 20 and 50 using the prime factorization method, we need to find out the prime factors of both the numbers. Then multiply the highest powers of the factors to get the LCM.


Prime factors of 20 are: 2×2×5

Prime factors of 50 are: 2×5×5


Multiply the highest power of both the factors: 22 x 52 = 100


Therefore, the LCM of 20 and 50 is 100.
 

Professor Greenline from BrightChamps

LCM Of 20 and 50 Using Division Method

To calculate the LCM using the division method. We will divide the given numbers with their prime numbers. The prime numbers should at least divide any one of the given numbers. Divide the numbers till the remainder becomes 1. By multiplying the prime factors, one can get LCM.


For finding the LCM of 20 and 50 we will use the following method.

 

 

 

 

 

 

 

By multiplying the prime divisors from the table, we will get the LCM of 20 and 50.


2 x 2 x 5 x 5 = 100


The LCM of 20 and 50 is 100.
 

Max Pointing Out Common Math Mistakes

Common Mistakes and How to Avoid Them in LCM of 20 and 50

Mistakes are common when we are finding the LCM of numbers. By learning the following common mistakes, we can avoid the mistakes.
 

Mistake 1

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Confused with LCM and GCF
 

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 Many of us will get confused between LCM and GCF. LCM is the smallest number which divides both numbers evenly, and GCF is the largest number which divides both numbers evenly.  
 

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LCM OF 20 and 50 Examples

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Max, the Girl Character from BrightChamps

Problem 1

Find the smallest number that is divisible by 20,50 exactly.

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 the multiples of these numbers like ;

 

 

  • Multiples of 20:20,40,60,80,100.120
  • Multiples of 50:50,100,150,200,250


Hence, the LCM of 20 and 50 is 100
 

Explanation

 The smallest number of these multiples is 100. Because only numbers can be divisible by the multiple of 20,50. 

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Max, the Girl Character from BrightChamps

Problem 2

Find the greatest number that divides 20 and 50 exactly.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

here, the Greatest common factor of 20 and 50 are;


Factors of 20 = 1,2,4,5,10,20
Factors of 50 = 1,2,5,10,25,50


So we can easily identify that the great common factor of 20 and 50 is 10.
 

Explanation

hence, So, we can easily identify that the great common factor of 20 and 50 is
10.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 3

Machine A beeps every 20 minutes, and machine B beeps every 50 minutes. When will they next beep together?

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

Now the LCM of the 20 and 50 is 100
 

Explanation

we can find the smallest common time interval between the machines is 100 minutes, i.e., they beep together in 100 minutes.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 4

Two trains cross the same station at different intervals. The first train crosses every 20 minutes, and the second train crosses every 50 minutes. If both trains cross the same station at the same time, when will they cross the station together again?

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the trains will cross together every 100 minutes.
 

Explanation

 The LCM of 20 and 50 = 100.


Therefore, both trains will cross the same station every 100 minutes.
 

Max from BrightChamps Praising Clear Math Explanations
Max, the Girl Character from BrightChamps

Problem 5

A bus passes a junction every 20 minutes another bus passes the same junction every 50 minutes. If they pass the junction at the same time, how long will it take for both buses to pass the junction at the same time again.

Ray, the Boy Character from BrightChamps Saying "Let’s Begin"

The buses will pass the junction every 100 minutes.
 

Explanation

The LCM of 20 and 50 = 100.


Therefore, both buses will pass the junction every 100 minutes.
 

Max from BrightChamps Praising Clear Math Explanations
Ray Thinking Deeply About Math Problems

FAQs on Least Common Multiple of 20 and 50

1.What is the GCF of 20 and 50?

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2.What are the common factors between 20 and 50?

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3.What is the LCM of 25 and 50?

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4.What is the LCM of 20 and 100?

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5.What is the LCM of 5 and 10?

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6.How can children in Indonesia use numbers in everyday life to understand LCM OF 20 and 50?

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7.What are some fun ways kids in Indonesia can practice LCM OF 20 and 50 with numbers?

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8.What role do numbers and LCM OF 20 and 50 play in helping children in Indonesia develop problem-solving skills?

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9.How can families in Indonesia create number-rich environments to improve LCM OF 20 and 50 skills?

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Professor Greenline from BrightChamps

Important Glossaries on the LCM of 20 and 50

  • Prime Number: Any number that has only 2 factors is called a prime number.For 5 and 7, only common factors are 1 and the number itself.

 

  • Composite Number: Any number that has more than 2 factors is called a composite number. For example, 4,8 and 10. 

 

  • Prime Factorization: It is breaking down a number into smaller prime numbers, then multiplied together, giving the same number.
     
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, numbers are more than simple digits—they unlock countless opportunities! We are dedicated to helping children all over Indonesia grasp key math skills, focusing today on the LCM OF 20 and 50 with an emphasis on understanding the LCM—in a way that’s fun, engaging, and easy to follow. Whether your child is calculating the speed of a roller coaster at Dunia Fantasi, tracking scores at badminton matches, or managing their allowance for the latest gadgets, mastering numbers gives them confidence for everyday tasks. Our interactive lessons keep learning fun and easy. Since kids in Indonesia learn in diverse ways, we tailor our approach to each child’s needs. From the lively streets of Jakarta to the beautiful beaches of Bali, BrightChamps brings math to life, making the LCM a fun part of every child’s learning journey!
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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.

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Max, the Girl Character from BrightChamps

Fun Fact

: She loves to read number jokes and games.

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