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Last updated on November 29th, 2024

LCM of 25 and 50

Q: Is multiple of 25 and 50 always the LCM of 25 and 50?

The LCM of 25 and 50 is 50. The multiple of 25 and 50 will always be their LCM.

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

25 can’t be an LCM because 50 is not a multiple of 25. To find the LCM of 25 and 50 we need to list their multiplies and find the common multiple that is lower in value.

Q: What is the LCM formula using the HCF?

The method below elaborates on how to derive the LCM using HCF (Highest common factor). An example is also attached to check the validity. LCM (a, b)= a×b/HCF(a, b)

Q: Is the LCM of 25 and 50 always a multiple of 25?

Yes, the HCF of 25 and 50 is always a multiple of 25. A multiple is a number we get when the given number gets multiplied by another. In this case, when we multiply 25 by 2 we get 50

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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

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.

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

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

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

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

LCM of 25 and 50 solved examples

Ray, the Character from BrightChamps Explaining Math Concepts

Problem 1

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

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

Explanation

Problem 2

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

Explanation

Problem 3

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

Explanation

FAQs on Least Common Multiple of 25 and 50

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

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

3.What is the LCM formula using the HCF?

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

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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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.