LCM that 8 and 10 is the smallest number among all usual multiples the 8 and also 10. The first few multiples that 8 and also 10 space (8, 16, 24, 32, 40, . . . ) and (10, 20, 30, 40, . . . ) respectively. There are 3 typically used approaches to discover LCM of 8 and also 10 - by element factorization, by listing multiples, and also by division method.

You are watching: What is the least common multiple of 8 and 10

1.LCM of 8 and 10
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 10 is 40.

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Explanation:

The LCM of two non-zero integers, x(8) and y(10), is the smallest positive integer m(40) the is divisible by both x(8) and also y(10) without any kind of remainder.


Let's look at the different methods because that finding the LCM the 8 and 10.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 8 and also 10 by element Factorization

Prime factorization of 8 and also 10 is (2 × 2 × 2) = 23 and also (2 × 5) = 21 × 51 respectively. LCM the 8 and 10 can be obtained by multiply prime factors raised to their respective highest possible power, i.e. 23 × 51 = 40.Hence, the LCM of 8 and 10 by prime factorization is 40.

LCM of 8 and 10 through Listing Multiples

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To calculate the LCM the 8 and also 10 by listing out the common multiples, we deserve to follow the given below steps:

Step 1: list a few multiples that 8 (8, 16, 24, 32, 40, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples indigenous the multiples the 8 and 10 space 40, 80, . . .Step 3: The smallest common multiple the 8 and also 10 is 40.

∴ The least typical multiple that 8 and also 10 = 40.

LCM of 8 and also 10 by department Method

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To calculation the LCM the 8 and also 10 by the division method, we will certainly divide the numbers(8, 10) by your prime factors (preferably common). The product of this divisors offers the LCM of 8 and also 10.

Step 3: continue the steps until only 1s room left in the last row.

The LCM of 8 and 10 is the product of every prime number on the left, i.e. LCM(8, 10) by department method = 2 × 2 × 2 × 5 = 40.

☛ also Check:


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FAQs top top LCM the 8 and also 10

What is the LCM the 8 and 10?

The LCM the 8 and 10 is 40. To uncover the least usual multiple of 8 and 10, we need to uncover the multiples that 8 and also 10 (multiples that 8 = 8, 16, 24, 32 . . . . 40; multiples that 10 = 10, 20, 30, 40) and choose the the smallest multiple that is specifically divisible by 8 and also 10, i.e., 40.

What is the Relation between GCF and also LCM that 8, 10?

The complying with equation can be provided to express the relation between GCF and LCM that 8 and 10, i.e. GCF × LCM = 8 × 10.

If the LCM the 10 and 8 is 40, find its GCF.

LCM(10, 8) × GCF(10, 8) = 10 × 8Since the LCM that 10 and 8 = 40⇒ 40 × GCF(10, 8) = 80Therefore, the greatest typical factor (GCF) = 80/40 = 2.

What is the least Perfect Square Divisible by 8 and 10?

The the very least number divisible by 8 and 10 = LCM(8, 10)LCM that 8 and also 10 = 2 × 2 × 2 × 5 ⇒ the very least perfect square divisible by every 8 and also 10 = LCM(8, 10) × 2 × 5 = 400 Therefore, 400 is the forced number.

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Which that the complying with is the LCM the 8 and also 10? 36, 40, 35, 3

The worth of LCM that 8, 10 is the smallest typical multiple of 8 and 10. The number satisfying the given condition is 40.