LCM the 18 and 27 is the the smallest number amongst all typical multiples that 18 and also 27. The first couple of multiples that 18 and also 27 room (18, 36, 54, 72, 90, 108, 126, . . . ) and (27, 54, 81, 108, 135, . . . ) respectively. There are 3 commonly used techniques to discover LCM that 18 and 27 - by listing multiples, by division method, and also by prime factorization.

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1.LCM of 18 and 27
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 18 and 27 is 54.

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Explanation:

The LCM of 2 non-zero integers, x(18) and also y(27), is the smallest confident integer m(54) the is divisible by both x(18) and also y(27) without any type of remainder.


The techniques to find the LCM of 18 and also 27 are described below.

By Listing MultiplesBy division MethodBy element Factorization Method

LCM of 18 and also 27 by Listing Multiples

To calculate the LCM the 18 and 27 through listing the end the typical multiples, we can follow the given below steps:

Step 1: list a few multiples the 18 (18, 36, 54, 72, 90, 108, 126, . . . ) and also 27 (27, 54, 81, 108, 135, . . . . )Step 2: The usual multiples from the multiples the 18 and also 27 are 54, 108, . . .Step 3: The smallest typical multiple the 18 and 27 is 54.

∴ The least common multiple of 18 and 27 = 54.

LCM the 18 and also 27 by department Method

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To calculate the LCM the 18 and also 27 by the department method, we will certainly divide the numbers(18, 27) by your prime determinants (preferably common). The product of this divisors gives the LCM the 18 and 27.

Step 3: continue the actions until only 1s room left in the last row.

The LCM the 18 and 27 is the product of all prime number on the left, i.e. LCM(18, 27) by department method = 2 × 3 × 3 × 3 = 54.

LCM that 18 and also 27 by prime Factorization

Prime administer of 18 and 27 is (2 × 3 × 3) = 21 × 32 and (3 × 3 × 3) = 33 respectively. LCM that 18 and 27 have the right to be acquired by multiply prime components raised to their respective highest power, i.e. 21 × 33 = 54.Hence, the LCM the 18 and also 27 by element factorization is 54.

☛ likewise Check:


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FAQs top top LCM that 18 and 27

What is the LCM that 18 and also 27?

The LCM the 18 and 27 is 54. To uncover the least typical multiple the 18 and also 27, we need to uncover the multiples the 18 and 27 (multiples of 18 = 18, 36, 54, 72; multiples of 27 = 27, 54, 81, 108) and choose the smallest multiple the is specifically divisible through 18 and 27, i.e., 54.

What are the approaches to uncover LCM that 18 and 27?

The generally used techniques to find the LCM of 18 and also 27 are:

Listing MultiplesDivision MethodPrime factorization Method

What is the Relation between GCF and also LCM that 18, 27?

The complying with equation can be provided to express the relation in between GCF and also LCM the 18 and also 27, i.e. GCF × LCM = 18 × 27.

How to uncover the LCM of 18 and 27 by element Factorization?

To uncover the LCM of 18 and also 27 using prime factorization, us will discover the element factors, (18 = 2 × 3 × 3) and (27 = 3 × 3 × 3). LCM that 18 and 27 is the product of prime determinants raised to their respective greatest exponent amongst the number 18 and 27.⇒ LCM of 18, 27 = 21 × 33 = 54.

If the LCM that 27 and 18 is 54, find its GCF.

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LCM(27, 18) × GCF(27, 18) = 27 × 18Since the LCM of 27 and also 18 = 54⇒ 54 × GCF(27, 18) = 486Therefore, the GCF (greatest common factor) = 486/54 = 9.