LCM of 9 and also 12 is the smallest number amongst all common multiples the 9 and also 12. The first couple of multiples that 9 and 12 room (9, 18, 27, 36, 45, . . . ) and also (12, 24, 36, 48, 60, . . . ) respectively. There room 3 generally used techniques to discover LCM the 9 and also 12 - by department method, by listing multiples, and also by element factorization.

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1.LCM the 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 also y(12) without any type of remainder.


The approaches to uncover the LCM the 9 and 12 are defined below.

By Listing MultiplesBy department MethodBy element Factorization Method

LCM of 9 and 12 by Listing Multiples

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

Step 1: list a couple of multiples the 9 (9, 18, 27, 36, 45, . . . ) and 12 (12, 24, 36, 48, 60, . . . . )Step 2: The usual multiples indigenous the multiples of 9 and 12 space 36, 72, . . .Step 3: The smallest common multiple that 9 and 12 is 36.

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

LCM that 9 and 12 by department Method

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

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

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

LCM of 9 and also 12 by element Factorization

Prime administer of 9 and also 12 is (3 × 3) = 32 and (2 × 2 × 3) = 22 × 31 respectively. LCM of 9 and also 12 have the right to be acquired by multiplying prime components raised to their respective greatest power, i.e. 22 × 32 = 36.Hence, the LCM the 9 and 12 by prime factorization is 36.

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FAQs on LCM of 9 and 12

What is the LCM of 9 and also 12?

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

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

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

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

The worth of LCM of 9, 12 is the smallest typical multiple of 9 and also 12. The number satisfying the given condition is 36.

If the LCM the 12 and also 9 is 36, uncover 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 methods to find LCM of 9 and 12?

The commonly used techniques to uncover the LCM the 9 and also 12 are: