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.