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Last updated on May 26th, 2025

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LCM of 25 and 50

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The LCM is the least common multiple, a multiple that is lower in value and common in two or more numbers. The LCM of numbers can be used in situations where we have to.

LCM of 25 and 50 for Singaporean Students
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LCM of 25 and 50

The LCM of 25 and 50 is 50


The LCM of numbers can be found using methods like the Listing Method, the Prime Factorization Method, and the Long Division Method. 
 

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LCM of 25 and 50 Using Listing the Multiples

The listing method finds the lowest multiple that is common to both 25 and 50 from the multiples of 25 and 50


The multiplies of 25 are 25, 50, 75 and so on


The multiples of 50 are 50, 100, 150 and so on.


The LCM of 25 and 50 is 50


 

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LCM of 25 and 50 Using Prime Factorization

To find the LCM, prime factorize 25 and 50


The prime factors of 25 is 5 → 51


The prime factors of 50 is 2, 5 → 2 × 52


The LCM of 25 and 50 is 21 × 52 = 2 × 5 × 5 =  25
 

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The LCM of 25 and 50 using the Division Method

Write the numbers 25 and 50 in a row


Find the number that can divide both 25 and 50


Continue dividing the numbers until you get 1


To get the LCM, multiply the divisors.


LCM of 25 and 50 = 5 × 5 × 2 =  50
 

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Common Mistakes and How to Avoid Them While finding the LCM of 25 and 50

Given below are the few mistakes that you can commit while trying to find the LCM of 25 and 50. Tips to avoid them are also given:
 

Mistake 1

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Error in listing multiples
 

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If the LCM of 25 and 50 is 50, double-check the multiples of both the numbers.


Multiples of 25 are 50, 75and so on.


Multiplies of 50 are 50, 100, 150 and so on.


If there’s any mistake listing the multiples, then the LCM will be incorrect.
 

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LCM of 25 and 50 solved examples

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Problem 1

The HCF between 25 and 50 is 5. What will be the LCM of 25 and 50 when prime factorization is used?

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 The LCM of 25 and 50 using the prime factorization method is 50
 

Explanation

To find the LCM of 25 and 50 using the prime factorization, list down the prime factors of 25 and 50. From the prime factors of each number, take the prime factor with the highest power, that is 21  and 52. Now multiply these to get 60 as the LCM
 

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Problem 2

The LCM of 25 and b is 50. What is the value of ‘b’?

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The value of ‘b’ is 50
 

Explanation

 We know that the LCM of (25,b) is 50


According to the LCM formula, LCM(a, b) = a × b/HCF(a, b)


50 = 25  × b/HCF(25,b)


B = 50 x HCF(25,b)/25


b=50
 

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Problem 3

The LCM of a and b is 50 and their HCF is 5, what is the product of a and b?

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Answer : 1250
 

 

Explanation

LCM(a,b)×HCF(a,b) =a×b 


LCM = 50


HCF = 25


50 × 25 = 50 × 25=1250

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FAQs on Least Common Multiple of 25 and 50

1.Is multiple of 25 and 50 always the LCM of 25 and 50?

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2.Why can’t we say that the LCM of 25 and 50 is not 25?

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3.What is the LCM formula using the HCF?

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4.Is the LCM of 25 and 50 always a multiple of 25?

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5.How can children in Singapore use numbers in everyday life to understand LCM of 25 and 50?

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6.What are some fun ways kids in Singapore can practice LCM of 25 and 50 with numbers?

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7.What role do numbers and LCM of 25 and 50 play in helping children in Singapore develop problem-solving skills?

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8.How can families in Singapore create number-rich environments to improve LCM of 25 and 50 skills?

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Important Glossaries for LCM of 25 and 50

  • Multiple: A number and any integer multiplied. 

 

  • Prime Factor: A natural number (except 1) that has factors that are one and itself.

 

  • Prime Factorization: The process of breaking down a number into its prime factors is called Prime Factorization. 
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About BrightChamps in Singapore

At BrightChamps, numbers mean more than just digits—they open doors to countless opportunities! Our mission is to help children in Singapore master important math skills, focusing on the LCM of 25 and 50 with a special focus on understanding the LCM—in a fun, engaging, and easy-to-understand way. Whether your child is figuring out how fast a roller coaster runs at Universal Studios Singapore, tracking scores at football matches, or managing their allowance for gadgets, mastering numbers builds confidence for everyday challenges. Our interactive lessons make learning fun and simple. Since kids in Singapore learn in various ways, we tailor our teaching to suit each child. From busy city streets to scenic gardens, BrightChamps brings math to life, making the LCM a fun part of every child’s math 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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: She loves to read number jokes and games.

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