LCM of 9 and also 12 is the smallest number among all typical multiples that 9 and also 12. The first few multiples of 9 and also 12 room (9, 18, 27, 36, 45, . . . ) and (12, 24, 36, 48, 60, . . . ) respectively. There room 3 frequently used methods to discover LCM that 9 and 12 - by department method, through listing multiples, and by prime factorization.

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

Answer: LCM that 9 and also 12 is 36.

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Explanation:

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


The approaches to discover the LCM the 9 and also 12 are described below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM of 9 and also 12 through Listing Multiples

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To calculate the LCM of 9 and 12 by listing the end the typical multiples, we can follow the given listed below steps:

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

∴ The least usual 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 through the department method, we will divide the numbers(9, 12) by their prime components (preferably common). The product of this divisors provides the LCM the 9 and also 12.

Step 3: continue the actions until just 1s are left in the critical row.

The LCM of 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 of 9 and also 12 by element Factorization

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

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FAQs top top LCM the 9 and also 12

What is the LCM the 9 and also 12?

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

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

The complying with equation have the right to be offered to to express the relation in between GCF and LCM the 9 and 12, i.e. GCF × LCM = 9 × 12.

Which the the following is the LCM that 9 and also 12? 50, 15, 45, 36

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

If the LCM the 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 also 9 = 36⇒ 36 × GCF(12, 9) = 108Therefore, the GCF = 108/36 = 3.

What are the approaches to uncover LCM of 9 and also 12?

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