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

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

Answer: LCM the 8 and also 10 is 40.

Explanation:

The LCM of 2 non-zero integers, x(8) and also y(10), is the smallest optimistic integer m(40) that is divisible through both x(8) and also y(10) without any type of remainder.

Let's look at the various methods for finding the LCM the 8 and 10.

By element Factorization MethodBy Listing MultiplesBy department Method

### LCM of 8 and 10 by element Factorization

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

### LCM that 8 and also 10 through Listing Multiples

To calculation the LCM the 8 and also 10 by listing out the usual multiples, we can follow the given below steps:

Step 1: perform a few multiples of 8 (8, 16, 24, 32, 40, . . . ) and also 10 (10, 20, 30, 40, . . . . )Step 2: The usual multiples from the multiples that 8 and also 10 space 40, 80, . . .Step 3: The smallest typical multiple the 8 and 10 is 40.

∴ The least common multiple the 8 and also 10 = 40.

### LCM the 8 and 10 by division Method

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

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

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

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## FAQs top top LCM that 8 and 10

### What is the LCM of 8 and also 10?

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

### What is the Relation between GCF and LCM of 8, 10?

The adhering to equation have the right to be offered to to express the relation between GCF and LCM that 8 and 10, i.e. GCF × LCM = 8 × 10.

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

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

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

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

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

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