LCM of 4 and also 8 is the smallest number among all typical multiples of 4 and 8. The first few multiples of 4 and also 8 are (4, 8, 12, 16, 20, 24, . . . ) and (8, 16, 24, 32, 40, 48, . . . ) respectively. There are 3 commonly used techniques to find LCM the 4 and also 8 - by listing multiples, by element factorization, and also by department method.

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

Answer: LCM that 4 and 8 is 8.

Explanation:

The LCM of two non-zero integers, x(4) and also y(8), is the smallest hopeful integer m(8) that is divisible by both x(4) and y(8) without any remainder.

Let's look in ~ the various methods because that finding the LCM of 4 and 8.

By division MethodBy Listing MultiplesBy prime Factorization Method

LCM the 4 and 8 by division Method

To calculate the LCM of 4 and also 8 by the department method, we will certainly divide the numbers(4, 8) by their prime components (preferably common). The product of these divisors offers the LCM that 4 and 8.

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

The LCM of 4 and 8 is the product of every prime numbers on the left, i.e. LCM(4, 8) by department method = 2 × 2 × 2 = 8.

LCM the 4 and also 8 through Listing Multiples

To calculation the LCM that 4 and 8 by listing the end the typical multiples, we can follow the given below steps:

Step 1: list a few multiples the 4 (4, 8, 12, 16, 20, 24, . . . ) and also 8 (8, 16, 24, 32, 40, 48, . . . . )Step 2: The usual multiples indigenous the multiples the 4 and 8 space 8, 16, . . .Step 3: The smallest usual multiple of 4 and also 8 is 8.

∴ The least usual multiple of 4 and also 8 = 8.

LCM the 4 and also 8 by prime Factorization

Prime administrate of 4 and also 8 is (2 × 2) = 22 and also (2 × 2 × 2) = 23 respectively. LCM of 4 and also 8 deserve to be obtained by multiply prime components raised to your respective greatest power, i.e. 23 = 8.Hence, the LCM that 4 and also 8 by element factorization is 8.

FAQs ~ above LCM of 4 and 8

What is the LCM that 4 and also 8?

The LCM of 4 and also 8 is 8. To discover the LCM the 4 and 8, we need to discover the multiples that 4 and 8 (multiples that 4 = 4, 8, 12, 16; multiples that 8 = 8, 16, 24, 32) and choose the the smallest multiple that is specifically divisible through 4 and also 8, i.e., 8.

If the LCM the 8 and 4 is 8, find its GCF.

LCM(8, 4) × GCF(8, 4) = 8 × 4Since the LCM that 8 and 4 = 8⇒ 8 × GCF(8, 4) = 32Therefore, the GCF = 32/8 = 4.

What room the approaches to find LCM the 4 and 8?

The generally used methods to uncover the LCM of 4 and 8 are: