LCM the 6 and also 8 is the the smallest number amongst all usual multiples that 6 and 8. The first couple of multiples the 6 and 8 space (6, 12, 18, 24, 30, 36, 42, . . . ) and also (8, 16, 24, 32, . . . ) respectively. There space 3 frequently used approaches to uncover LCM of 6 and 8 - by prime factorization, by department method, and by listing multiples.

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1.LCM the 6 and also 8
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 6 and 8 is 24.

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Explanation:

The LCM of 2 non-zero integers, x(6) and also y(8), is the smallest hopeful integer m(24) the is divisible by both x(6) and also y(8) without any remainder.


Let's look at the various methods because that finding the LCM of 6 and 8.

By element Factorization MethodBy Listing MultiplesBy division Method

LCM that 6 and also 8 by element Factorization

Prime factorization of 6 and also 8 is (2 × 3) = 21 × 31 and (2 × 2 × 2) = 23 respectively. LCM that 6 and also 8 have the right to be derived by multiplying prime determinants raised to their respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM of 6 and also 8 by element factorization is 24.

LCM of 6 and 8 by Listing Multiples

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To calculation the LCM that 6 and 8 through listing the end the typical multiples, we deserve to follow the given listed below steps:

Step 1: perform a few multiples of 6 (6, 12, 18, 24, 30, 36, 42, . . . ) and 8 (8, 16, 24, 32, . . . . )Step 2: The usual multiples from the multiples of 6 and also 8 are 24, 48, . . .Step 3: The smallest typical multiple that 6 and also 8 is 24.

∴ The least usual multiple that 6 and 8 = 24.

LCM the 6 and also 8 by department Method

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To calculate the LCM that 6 and 8 through the division method, we will divide the numbers(6, 8) by your prime components (preferably common). The product of these divisors provides the LCM of 6 and 8.

Step 3: continue the measures until just 1s space left in the last row.

The LCM of 6 and also 8 is the product of all prime number on the left, i.e. LCM(6, 8) by division method = 2 × 2 × 2 × 3 = 24.

☛ likewise Check:


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FAQs ~ above LCM that 6 and also 8

What is the LCM that 6 and also 8?

The LCM the 6 and also 8 is 24. To discover the least usual multiple (LCM) of 6 and 8, we need to discover the multiples the 6 and 8 (multiples the 6 = 6, 12, 18, 24; multiples that 8 = 8, 16, 24, 32) and choose the smallest multiple the is specifically divisible by 6 and 8, i.e., 24.

What is the least Perfect Square Divisible through 6 and 8?

The least number divisible through 6 and also 8 = LCM(6, 8)LCM that 6 and 8 = 2 × 2 × 2 × 3 ⇒ the very least perfect square divisible by every 6 and 8 = LCM(6, 8) × 2 × 3 = 144 Therefore, 144 is the forced number.

Which the the adhering to is the LCM the 6 and 8? 15, 42, 24, 28

The worth of LCM of 6, 8 is the smallest common multiple that 6 and 8. The number solve the given problem is 24.

If the LCM the 8 and also 6 is 24, discover its GCF.

LCM(8, 6) × GCF(8, 6) = 8 × 6Since the LCM that 8 and 6 = 24⇒ 24 × GCF(8, 6) = 48Therefore, the greatest usual factor (GCF) = 48/24 = 2.

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How to discover the LCM that 6 and also 8 by prime Factorization?

To uncover the LCM of 6 and 8 making use of prime factorization, we will uncover the element factors, (6 = 2 × 3) and also (8 = 2 × 2 × 2). LCM the 6 and also 8 is the product the prime determinants raised to your respective highest possible exponent among the numbers 6 and also 8.⇒ LCM of 6, 8 = 23 × 31 = 24.