Table Of Contents
135 LearnersLast updated on December 24th, 2024
LCM OF 20 and 50
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.
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.
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.
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.
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.
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.
Common Mistakes and How to Avoid Them in LCM of 20 and 50
LCM OF 20 and 50 Examples
Problem 1
Find the smallest number that is divisible by 20,50 exactly.
Explanation
Problem 2
Find the greatest number that divides 20 and 50 exactly.
Explanation
Problem 3
Machine A beeps every 20 minutes, and machine B beeps every 50 minutes. When will they next beep together?
Explanation
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?
Explanation
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.
Explanation
FAQs on Least Common Multiple of 20 and 50
1.What is the GCF of 20 and 50?
2.What are the common factors between 20 and 50?
3.What is the LCM of 25 and 50?
4.What is the LCM of 20 and 100?
5.What is the LCM of 5 and 10?
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.
Explore More numbers
Previous to LCM OF 20 and 50
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.
Fun Fact
: She loves to read number jokes and games.
