LCM of 5 and 8 is the the smallest number among all common multiples of 5 and also 8. The first couple of multiples that 5 and 8 are (5, 10, 15, 20, 25, 30, . . . ) and also (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 generally used techniques to find LCM that 5 and also 8 - by element factorization, by listing multiples, and by department method.

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1.LCM of 5 and also 8
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 5 and 8 is 40.

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Explanation:

The LCM of two non-zero integers, x(5) and y(8), is the smallest positive integer m(40) that is divisible by both x(5) and also y(8) without any kind of remainder.


The techniques to find the LCM of 5 and also 8 are described below.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM of 5 and 8 by prime Factorization

Prime factorization of 5 and also 8 is (5) = 51 and also (2 × 2 × 2) = 23 respectively. LCM that 5 and 8 can be acquired by multiply prime factors raised to your respective highest power, i.e. 23 × 51 = 40.Hence, the LCM that 5 and also 8 by element factorization is 40.

LCM of 5 and also 8 by division Method

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To calculation the LCM the 5 and 8 by the department method, we will divide the numbers(5, 8) by your prime factors (preferably common). The product of these divisors gives the LCM the 5 and 8.

Step 3: continue the measures until just 1s space left in the critical row.

The LCM that 5 and also 8 is the product of every prime numbers on the left, i.e. LCM(5, 8) by department method = 2 × 2 × 2 × 5 = 40.

LCM of 5 and also 8 by Listing Multiples

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To calculation the LCM of 5 and also 8 by listing out the common multiples, we have the right to follow the given listed below steps:

Step 1: list a couple of multiples that 5 (5, 10, 15, 20, 25, 30, . . . ) and also 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The usual multiples native the multiples that 5 and also 8 room 40, 80, . . .Step 3: The smallest common multiple of 5 and 8 is 40.

∴ The least typical multiple that 5 and 8 = 40.

☛ also Check:


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FAQs on LCM the 5 and also 8

What is the LCM that 5 and 8?

The LCM of 5 and also 8 is 40. To uncover the LCM that 5 and also 8, we need to uncover the multiples of 5 and 8 (multiples that 5 = 5, 10, 15, 20 . . . . 40; multiples of 8 = 8, 16, 24, 32 . . . . 40) and choose the the smallest multiple the is specifically divisible by 5 and also 8, i.e., 40.

If the LCM that 8 and 5 is 40, uncover its GCF.

LCM(8, 5) × GCF(8, 5) = 8 × 5Since the LCM of 8 and also 5 = 40⇒ 40 × GCF(8, 5) = 40Therefore, the greatest usual factor (GCF) = 40/40 = 1.

What is the Relation in between GCF and LCM of 5, 8?

The following equation deserve to be used to refer the relation in between GCF and also LCM the 5 and 8, i.e. GCF × LCM = 5 × 8.

What is the the very least Perfect Square Divisible by 5 and 8?

The the very least number divisible by 5 and also 8 = LCM(5, 8)LCM of 5 and also 8 = 2 × 2 × 2 × 5 ⇒ the very least perfect square divisible by each 5 and also 8 = LCM(5, 8) × 2 × 5 = 400 Therefore, 400 is the compelled number.

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Which the the following is the LCM the 5 and also 8? 11, 45, 30, 40

The value of LCM the 5, 8 is the smallest usual multiple that 5 and 8. The number satisfying the given problem is 40.