LCM the 5 and 8 is the the smallest number amongst all typical multiples that 5 and also 8. The first few multiples that 5 and also 8 room (5, 10, 15, 20, 25, 30, . . . ) and (8, 16, 24, 32, 40, 48, 56, . . . ) respectively. There space 3 commonly used approaches to find LCM of 5 and 8 - by prime factorization, through listing multiples, and by division method.

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

Answer: LCM the 5 and 8 is 40.

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Explanation:

The LCM of 2 non-zero integers, x(5) and also y(8), is the smallest hopeful integer m(40) that is divisible through both x(5) and y(8) without any remainder.


The methods to uncover the LCM that 5 and 8 are described below.

By element Factorization MethodBy division MethodBy Listing Multiples

LCM the 5 and also 8 by element Factorization

Prime administer of 5 and also 8 is (5) = 51 and (2 × 2 × 2) = 23 respectively. LCM the 5 and also 8 have the right to be acquired by multiply prime determinants raised to their respective highest power, i.e. 23 × 51 = 40.Hence, the LCM of 5 and also 8 by prime factorization is 40.

LCM the 5 and also 8 by department Method

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

Step 3: continue the actions until only 1s space left in the last row.

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

LCM the 5 and also 8 through Listing Multiples

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To calculate the LCM that 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 8 (8, 16, 24, 32, 40, 48, 56, . . . . )Step 2: The typical multiples from the multiples the 5 and also 8 room 40, 80, . . .Step 3: The smallest typical multiple the 5 and also 8 is 40.

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

☛ additionally Check:


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FAQs on LCM of 5 and also 8

What is the LCM of 5 and also 8?

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

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

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

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

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

What is the least Perfect Square Divisible through 5 and 8?

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

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Which that the complying with is the LCM the 5 and 8? 11, 45, 30, 40

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