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

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

Answer: LCM that 4 and also 8 is 8.

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Explanation:

The LCM of 2 non-zero integers, x(4) and also y(8), is the smallest confident integer m(8) the is divisible by both x(4) and y(8) without any type of remainder.


Let's look at the various methods for finding the LCM that 4 and also 8.

By division MethodBy Listing MultiplesBy element Factorization Method

LCM that 4 and 8 by division Method

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

Step 3: continue the actions until only 1s are left in the last row.

The LCM that 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 by Listing Multiples

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To calculate the LCM of 4 and also 8 by listing the end the common multiples, we deserve to follow the given below steps:

Step 1: perform a couple of multiples that 4 (4, 8, 12, 16, 20, 24, . . . ) and 8 (8, 16, 24, 32, 40, 48, . . . . )Step 2: The usual multiples from the multiples that 4 and 8 are 8, 16, . . .Step 3: The smallest usual multiple that 4 and 8 is 8.

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

LCM that 4 and also 8 by element Factorization

Prime factorization of 4 and 8 is (2 × 2) = 22 and (2 × 2 × 2) = 23 respectively. LCM of 4 and also 8 can be derived by multiply prime factors raised to their respective greatest power, i.e. 23 = 8.Hence, the LCM of 4 and also 8 by prime factorization is 8.

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FAQs ~ above LCM of 4 and also 8

What is the LCM that 4 and also 8?

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

If the LCM the 8 and also 4 is 8, discover its GCF.

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

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

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

Prime factorization MethodListing MultiplesDivision Method

How to find the LCM the 4 and also 8 by prime Factorization?

To uncover the LCM the 4 and also 8 utilizing prime factorization, we will discover the element factors, (4 = 2 × 2) and (8 = 2 × 2 × 2). LCM the 4 and also 8 is the product of prime factors raised to your respective highest exponent amongst the number 4 and 8.⇒ LCM the 4, 8 = 23 = 8.

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What is the least Perfect Square Divisible through 4 and 8?

The least number divisible through 4 and 8 = LCM(4, 8)LCM that 4 and also 8 = 2 × 2 × 2 ⇒ the very least perfect square divisible by each 4 and also 8 = LCM(4, 8) × 2 = 16 Therefore, 16 is the required number.