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

You are watching: Common denominator of 8 and 10

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

Answer: LCM the 8 and also 10 is 40.

*

Explanation:

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


Let's look in ~ the various methods because that finding the LCM of 8 and also 10.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM the 8 and 10 by prime Factorization

Prime factorization of 8 and also 10 is (2 × 2 × 2) = 23 and (2 × 5) = 21 × 51 respectively. LCM of 8 and also 10 can be acquired by multiply prime components raised to your respective greatest power, i.e. 23 × 51 = 40.Hence, the LCM the 8 and also 10 by element factorization is 40.

LCM of 8 and also 10 by Listing Multiples

*

To calculation the LCM that 8 and also 10 through listing the end the common multiples, we have the right to follow the given below steps:

Step 1: list a couple of multiples of 8 (8, 16, 24, 32, 40, . . . ) and 10 (10, 20, 30, 40, . . . . )Step 2: The common multiples from the multiples of 8 and 10 are 40, 80, . . .Step 3: The smallest usual multiple the 8 and also 10 is 40.

∴ The least usual multiple of 8 and 10 = 40.

LCM of 8 and 10 by division Method

*

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

Step 3: continue the steps until just 1s room left in the critical row.

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

☛ likewise Check:


*


FAQs on LCM the 8 and 10

What is the LCM that 8 and 10?

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

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

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

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

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

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

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

See more: Convert Speed In Km Per Hour To Feet Per Second (Kmph To Fps)

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

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