LCM that 9 and also 12 is the the smallest number among all usual multiples that 9 and also 12. The first couple of multiples the 9 and 12 space (9, 18, 27, 36, 45, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 commonly used techniques to find LCM that 9 and 12 - by division method, by listing multiples, and by prime factorization.

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1.LCM of 9 and 12
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 9 and 12 is 36.

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Explanation:

The LCM of 2 non-zero integers, x(9) and y(12), is the smallest hopeful integer m(36) the is divisible by both x(9) and y(12) without any remainder.


The methods to find the LCM of 9 and also 12 are defined below.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM that 9 and also 12 by Listing Multiples

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To calculation the LCM of 9 and 12 by listing out the common multiples, we deserve to follow the given below steps:

Step 1: list a few multiples that 9 (9, 18, 27, 36, 45, . . . ) and also 12 (12, 24, 36, 48, 60, . . . . )Step 2: The usual multiples from the multiples of 9 and 12 room 36, 72, . . .Step 3: The smallest typical multiple the 9 and 12 is 36.

∴ The least typical multiple of 9 and also 12 = 36.

LCM the 9 and also 12 by division Method

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To calculate the LCM the 9 and 12 through the department method, we will certainly divide the numbers(9, 12) by your prime determinants (preferably common). The product of these divisors offers the LCM that 9 and 12.

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

The LCM the 9 and also 12 is the product of all prime number on the left, i.e. LCM(9, 12) by department method = 2 × 2 × 3 × 3 = 36.

LCM the 9 and 12 by element Factorization

Prime administrate of 9 and 12 is (3 × 3) = 32 and also (2 × 2 × 3) = 22 × 31 respectively. LCM the 9 and 12 can be acquired by multiply prime factors raised to your respective greatest power, i.e. 22 × 32 = 36.Hence, the LCM of 9 and 12 by element factorization is 36.

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FAQs ~ above LCM of 9 and 12

What is the LCM that 9 and also 12?

The LCM of 9 and 12 is 36. To find the least common multiple that 9 and 12, we need to uncover the multiples that 9 and 12 (multiples that 9 = 9, 18, 27, 36; multiples the 12 = 12, 24, 36, 48) and also choose the the smallest multiple that is specifically divisible by 9 and also 12, i.e., 36.

What is the Relation between GCF and LCM of 9, 12?

The adhering to equation can be supplied to refer the relation in between GCF and also LCM that 9 and also 12, i.e. GCF × LCM = 9 × 12.

Which of the complying with is the LCM the 9 and 12? 50, 15, 45, 36

The worth of LCM that 9, 12 is the smallest usual multiple that 9 and also 12. The number to solve the given problem is 36.

If the LCM of 12 and 9 is 36, find its GCF.

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LCM(12, 9) × GCF(12, 9) = 12 × 9Since the LCM of 12 and 9 = 36⇒ 36 × GCF(12, 9) = 108Therefore, the GCF = 108/36 = 3.

What space the techniques to find LCM the 9 and 12?

The frequently used methods to find the LCM of 9 and 12 are: