LCM the 12 and 24 is the the smallest number amongst all usual multiples of 12 and 24. The first few multiples the 12 and also 24 are (12, 24, 36, 48, 60, 72, . . . ) and (24, 48, 72, 96, 120, 144, 168, . . . ) respectively. There room 3 typically used approaches to uncover LCM the 12 and 24 - by prime factorization, by department method, and also by listing multiples.

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1.LCM the 12 and also 24
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM the 12 and also 24 is 24.

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Explanation:

The LCM of two non-zero integers, x(12) and y(24), is the smallest hopeful integer m(24) the is divisible through both x(12) and y(24) without any remainder.


The methods to find the LCM of 12 and 24 are described below.

By department MethodBy Listing MultiplesBy element Factorization Method

LCM that 12 and also 24 by department Method

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To calculate the LCM of 12 and 24 by the department method, we will certainly divide the numbers(12, 24) by their prime determinants (preferably common). The product of these divisors offers the LCM of 12 and 24.

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

The LCM that 12 and also 24 is the product of every prime number on the left, i.e. LCM(12, 24) by department method = 2 × 2 × 2 × 3 = 24.

LCM that 12 and 24 by Listing Multiples

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To calculation the LCM that 12 and also 24 through listing the end the usual multiples, we have the right to follow the given listed below steps:

Step 1: perform a couple of multiples the 12 (12, 24, 36, 48, 60, 72, . . . ) and also 24 (24, 48, 72, 96, 120, 144, 168, . . . . )Step 2: The common multiples native the multiples of 12 and also 24 room 24, 48, . . .Step 3: The smallest common multiple of 12 and 24 is 24.

∴ The least common multiple that 12 and also 24 = 24.

LCM that 12 and also 24 by prime Factorization

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

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FAQs on LCM of 12 and also 24

What is the LCM that 12 and also 24?

The LCM the 12 and also 24 is 24. To find the LCM the 12 and 24, we need to find the multiples the 12 and also 24 (multiples of 12 = 12, 24, 36, 48; multiples of 24 = 24, 48, 72, 96) and choose the smallest multiple that is specifically divisible by 12 and 24, i.e., 24.

What room the techniques to discover LCM the 12 and also 24?

The typically used techniques to uncover the LCM of 12 and 24 are:

Listing MultiplesPrime administrate MethodDivision Method

What is the Relation between GCF and also LCM of 12, 24?

The complying with equation deserve to be offered to express the relation in between GCF and also LCM the 12 and 24, i.e. GCF × LCM = 12 × 24.

If the LCM of 24 and also 12 is 24, uncover its GCF.

LCM(24, 12) × GCF(24, 12) = 24 × 12Since the LCM the 24 and 12 = 24⇒ 24 × GCF(24, 12) = 288Therefore, the greatest common factor = 288/24 = 12.

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How to uncover the LCM of 12 and 24 by element Factorization?

To discover the LCM the 12 and also 24 making use of prime factorization, we will find the prime factors, (12 = 2 × 2 × 3) and (24 = 2 × 2 × 2 × 3). LCM of 12 and also 24 is the product the prime factors raised to their respective highest exponent among the number 12 and 24.⇒ LCM that 12, 24 = 23 × 31 = 24.