LCM of 8 and also 12 is the smallest number amongst all usual multiples that 8 and also 12. The first few multiples that 8 and also 12 are (8, 16, 24, 32, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There are 3 commonly used methods to discover LCM that 8 and 12 - by division method, by prime factorization, and by listing multiples.

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

Answer: LCM the 8 and also 12 is 24.

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Explanation:

The LCM of 2 non-zero integers, x(8) and y(12), is the smallest positive integer m(24) that is divisible through both x(8) and y(12) without any type of remainder.


Let's look in ~ the various methods for finding the LCM of 8 and 12.

By prime Factorization MethodBy department MethodBy Listing Multiples

LCM of 8 and 12 by prime Factorization

Prime administer of 8 and 12 is (2 × 2 × 2) = 23 and also (2 × 2 × 3) = 22 × 31 respectively. LCM of 8 and 12 have the right to be acquired by multiply prime factors raised to their respective greatest power, i.e. 23 × 31 = 24.Hence, the LCM that 8 and 12 by element factorization is 24.

LCM of 8 and also 12 by division Method

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To calculation the LCM that 8 and 12 by the division method, we will divide the numbers(8, 12) by your prime factors (preferably common). The product of this divisors provides the LCM that 8 and also 12.

Step 3: continue the actions until only 1s space left in the critical row.

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

LCM the 8 and also 12 by Listing Multiples

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To calculate the LCM of 8 and also 12 by listing the end the typical multiples, we deserve to follow the given listed below steps:

Step 1: list a couple of multiples that 8 (8, 16, 24, 32, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )Step 2: The common multiples from the multiples that 8 and 12 room 24, 48, . . .Step 3: The smallest typical multiple that 8 and also 12 is 24.

∴ The least typical multiple of 8 and also 12 = 24.

☛ likewise Check:


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FAQs on LCM that 8 and 12

What is the LCM that 8 and also 12?

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

What is the least Perfect Square Divisible through 8 and 12?

The least number divisible through 8 and 12 = LCM(8, 12)LCM of 8 and also 12 = 2 × 2 × 2 × 3 ⇒ least perfect square divisible by each 8 and also 12 = LCM(8, 12) × 2 × 3 = 144 Therefore, 144 is the compelled number.

Which that the adhering to is the LCM the 8 and also 12? 3, 5, 45, 24

The value of LCM the 8, 12 is the smallest common multiple of 8 and also 12. The number solve the given problem is 24.

If the LCM of 12 and 8 is 24, find its GCF.

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

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

The following equation deserve to be offered to express the relation in between GCF and LCM the 8 and 12, i.e. GCF × LCM = 8 × 12.