LCM of 8 and 12 is the smallest number among all common multiples the 8 and also 12. The first few multiples that 8 and 12 are (8, 16, 24, 32, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 generally used methods to uncover LCM the 8 and 12 - by division method, by element factorization, and also by listing multiples.

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1.LCM that 8 and also 12
2.List the Methods
3.Solved Examples
4.FAQs

Answer: LCM of 8 and also 12 is 24.

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Explanation:

The LCM of two non-zero integers, x(8) and also y(12), is the smallest positive integer m(24) that is divisible by both x(8) and also y(12) without any kind of remainder.


Let's look at the various methods for finding the LCM the 8 and also 12.

By element Factorization MethodBy department MethodBy Listing Multiples

LCM the 8 and 12 by prime Factorization

Prime factorization of 8 and 12 is (2 × 2 × 2) = 23 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 8 and 12 can be derived by multiply prime components raised to their respective highest possible power, i.e. 23 × 31 = 24.Hence, the LCM that 8 and also 12 by prime factorization is 24.

LCM the 8 and also 12 by division Method

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To calculate the LCM of 8 and also 12 by the department method, we will certainly divide the numbers(8, 12) by your prime components (preferably common). The product of this divisors offers the LCM that 8 and also 12.

Step 3: proceed the steps until only 1s room left in the critical row.

The LCM of 8 and 12 is the product of every prime numbers on the left, i.e. LCM(8, 12) by division method = 2 × 2 × 2 × 3 = 24.

LCM the 8 and 12 by Listing Multiples

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To calculate the LCM that 8 and 12 through listing out the usual multiples, we have the right to follow the given below steps:

Step 1: perform a few multiples the 8 (8, 16, 24, 32, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )Step 2: The typical multiples native the multiples of 8 and 12 room 24, 48, . . .Step 3: The smallest usual multiple the 8 and also 12 is 24.

∴ The least common multiple the 8 and 12 = 24.

☛ likewise Check:


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FAQs top top LCM of 8 and also 12

What is the LCM that 8 and 12?

The LCM of 8 and 12 is 24. To uncover the least common multiple (LCM) the 8 and 12, we need to uncover the multiples of 8 and 12 (multiples that 8 = 8, 16, 24, 32; multiples that 12 = 12, 24, 36, 48) and choose the smallest multiple that is specifically divisible by 8 and 12, i.e., 24.

What is the the very least Perfect Square Divisible by 8 and also 12?

The least number divisible through 8 and 12 = LCM(8, 12)LCM that 8 and also 12 = 2 × 2 × 2 × 3 ⇒ the very least perfect square divisible by every 8 and 12 = LCM(8, 12) × 2 × 3 = 144 Therefore, 144 is the required number.

Which that the complying with is the LCM of 8 and 12? 3, 5, 45, 24

The value of LCM of 8, 12 is the smallest common multiple that 8 and 12. The number to solve the given condition is 24.

If the LCM that 12 and 8 is 24, uncover its GCF.

LCM(12, 8) × GCF(12, 8) = 12 × 8Since the LCM that 12 and also 8 = 24⇒ 24 × GCF(12, 8) = 96Therefore, the GCF (greatest typical factor) = 96/24 = 4.

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What is the Relation between GCF and LCM the 8, 12?

The complying with equation deserve to be provided to express the relation between GCF and also LCM that 8 and 12, i.e. GCF × LCM = 8 × 12.