Prime factorize the numbers; 8 = 2×2×2 5 = 5 10 = 2×5 LCM(5,8,10) = 40

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Last updated on November 29th, 2024

LCM of 5 and 10

Q: What is the LCM of 5,7,10?

Find the prime factors of the numbers: Prime factorization of 5 = 5 Prime factorization of 7 = 7 Prime factorization of 10= 2×5 Take the highest power of each prime factor and multiply the ascertained factors. — 5,7,2 = LCM, i.e, 70

Q: What is the HCF of 5 and 10?

HCF of 5 and 10 can be found by following the below steps; 1.List down the prime factors of the numbers Prime factors of 5 = 5 Prime factors of 10 = 2×5 2. Find the common prime factors —> 5 3.HCF of 5 and 10 = 5, the HCF of the given numbers is 5.

Q: What is the LCM of 5,10,6?

Prime factorize the numbers; 5 = 5 10 = 2×5 6= 2×3 LCM(5,6,10) = 30

Q: What are the multiples of 5 and 10 ?

— Multiples of 5 = 5,10,15,20,25,30,35,40,45,50,… — Multiples of 10 = 10,20, 30,40,50,60,70,80,90, 100,… 5 and 10 share the common multiple 10,20,30,40,50 till multiples of 10.

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In this article, we will learn more about the LCM of 5 and 10. LCM is a mathematical tool we apply in various fields like making music, planning and scheduling.

What is the LCM of 5 and 10?

10 is the LCM of the given numbers 5 and10.

Lets find out how to get the LCM.

How to find the LCM of 5 and 10?

There are various methods to find the LCM, Listing method, prime factorization method and division method are explained below;

LCM of 5 and 10 using the Listing multiples method

list the multiples of the integers until a common multiple is found.

Step1: list multiples of each number:

Multiples of 5 = 5,10,15,20,…

Multiples of 10 = 10,20,30,40…

Step 2: Find the smallest multiple from the listed multiples

The least common multiple of the numbers is 10.

LCM(5,10) = 10

LCM of 5 and 10 using the Prime Factorization

The prime factors of each number are written, and then the highest power of the prime factors is multiplied to get the LCM.

Step 1: prime factorize the numbers:

5 = 5

10= 2×5

Step 2: pick the highest power of each prime factor and multiply the ascertained factors.

— 2,5 = LCM, i.e, 10

LCM of 5 and 10 using the Division Method

Step 1: Write the numbers in a row;

Step 2: Divide the row of numbers by a prime number that is evenly divisible into one of the given numbers and bring down the numbers not divisible by the previous prime number and continue dividing the numbers until the last row of the results is ‘1’ .

Step 3: The LCM of the numbers is the product of the prime numbers in the first column, i.e,

2×5 = 10

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Common Mistakes and how to avoid them while finding the LCM of 5 and 10

LCM of 5 and 10 Examples

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Problem 1

a=5, b=10. Use LCM(a,b)=a×b/HCF(a,b) to find the LCM.

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Explanation

Problem 2

Verify a=5,b=10 LCM(a,b)×HCF(a,b)=a×b is satisfied.

Explanation

Problem 3

The LCM of 5 and x is 10. Find x.

Explanation

FAQ’s on LCM of 5 and 10

1.What is the LCM of 5,7,10?

2.What is the HCF of 5 and 10?

3.What is the LCM of 5,10,6?

4.LCM of 8,5 and 10?

5.What are the multiples of 5 and 10 ?

Important glossaries for LCM of 5 and 10

Multiple: A product of a number and any integer.

Prime Factor: A prime factor is a natural number, other than 1, whose only factors are 1 and itself.

Prime Factorization: The process of breaking down a number into its prime factors.

Co-prime numbers: A number is co-prime when the only positive integer that is a divisor of them both is 1.

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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.