LCM of 5 and 8

LCM of 5 and 8 is 40. As we know, the least common multiple is a process to find the smallest common multiple between any two or more numbers. Grasp the LCM concept by following the article LCM with Examples formulated by expert faculty to enhance the learning process of students. By mastering the LCM concept, students will be able to secure good marks in final exams effortlessly. Let us glance at how to find the least common multiple of 5 and 8 accurately in this article.

What is LCM of 5 and 8?

The answer to this question is 40.

How to Find LCM of 5 and 8?

The LCM of 5 and 8 can be determined by using the three methods given below:

• Prime Factorisation
• Division method
• Listing the multiples

LCM of 5 and 8 Using Prime Factorisation Method

By prime factorisation method, we can write 5 and 8 as the product of prime numbers, such that;

5 = 5

8 = 2 × 2 × 2

LCM (5, 8) = 2 × 2 × 2 × 5 = 40

LCM of 5 and 8 Using Division Method

In this method, we divide the numbers 5 and 8 by their prime factors to determine their LCM. The product of these divisors represents the least common multiple of 5 and 8. This can be shown as below.

No more further division can be done.

Hence, LCM (5, 8) = 2 × 2 × 2 × 5 = 40.

LCM of 5 and 8 Using Listing the Multiples

Here we list out the multiples of 5 and 8 to calculate their least common multiple as shown below:

LCM (5, 8) = 40

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Solved Examples

Q. 1: The GCD and LCM of the two numbers are 1 and 40. If one number is 5. Calculate the other number.

Solution: Let the other number be n

GCD × LCM = 5 × n

n = (GCD × LCM)/5

n = (1 × 40)/5

n = 8

Therefore the other number is 8.

Q. 2: What is the LCM of 1, 5 and 8?

Solution: The LCM of 1, 5 and 8 is 40.