LCM the 27 and 36 is the smallest number among all typical multiples the 27 and also 36. The first few multiples that 27 and also 36 space (27, 54, 81, 108, 135, 162, 189, . . . ) and (36, 72, 108, 144, 180, 216, 252, . . . ) respectively. There space 3 generally used approaches to discover LCM that 27 and 36 - by prime factorization, by division method, and also by listing multiples.

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1.LCM the 27 and 36
2.List of Methods
3.Solved Examples
4.FAQs

Answer: LCM that 27 and 36 is 108.

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Explanation:

The LCM of two non-zero integers, x(27) and also y(36), is the smallest positive integer m(108) the is divisible through both x(27) and also y(36) without any kind of remainder.


The techniques to discover the LCM the 27 and 36 are explained below.

By Listing MultiplesBy division MethodBy prime Factorization Method

LCM that 27 and 36 by Listing Multiples

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To calculation the LCM the 27 and 36 by listing the end the typical multiples, we have the right to follow the given below steps:

Step 1: list a few multiples the 27 (27, 54, 81, 108, 135, 162, 189, . . . ) and also 36 (36, 72, 108, 144, 180, 216, 252, . . . . )Step 2: The usual multiples native the multiples the 27 and also 36 room 108, 216, . . .Step 3: The smallest common multiple the 27 and also 36 is 108.

∴ The least typical multiple that 27 and also 36 = 108.

LCM that 27 and 36 by division Method

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To calculate the LCM that 27 and also 36 by the department method, we will certainly divide the numbers(27, 36) by their prime components (preferably common). The product of these divisors provides the LCM that 27 and also 36.

Step 3: proceed the steps until just 1s are left in the last row.

The LCM the 27 and also 36 is the product of all prime number on the left, i.e. LCM(27, 36) by division method = 2 × 2 × 3 × 3 × 3 = 108.

LCM the 27 and also 36 by element Factorization

Prime factorization of 27 and 36 is (3 × 3 × 3) = 33 and (2 × 2 × 3 × 3) = 22 × 32 respectively. LCM that 27 and 36 have the right to be obtained by multiplying prime factors raised to their respective highest possible power, i.e. 22 × 33 = 108.Hence, the LCM the 27 and 36 by element factorization is 108.

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FAQs ~ above LCM of 27 and also 36

What is the LCM the 27 and also 36?

The LCM of 27 and also 36 is 108. To find the LCM the 27 and also 36, we require to uncover the multiples that 27 and also 36 (multiples of 27 = 27, 54, 81, 108; multiples that 36 = 36, 72, 108, 144) and also choose the smallest multiple the is specifically divisible by 27 and 36, i.e., 108.

Which the the complying with is the LCM that 27 and 36? 12, 2, 25, 108

The value of LCM the 27, 36 is the smallest common multiple of 27 and also 36. The number solve the given problem is 108.

How to discover the LCM of 27 and also 36 by prime Factorization?

To discover the LCM that 27 and also 36 making use of prime factorization, we will find the element factors, (27 = 3 × 3 × 3) and (36 = 2 × 2 × 3 × 3). LCM of 27 and also 36 is the product the prime factors raised to your respective greatest exponent among the number 27 and also 36.⇒ LCM the 27, 36 = 22 × 33 = 108.

What is the least Perfect Square Divisible by 27 and also 36?

The least number divisible by 27 and 36 = LCM(27, 36)LCM that 27 and also 36 = 2 × 2 × 3 × 3 × 3 ⇒ the very least perfect square divisible by each 27 and 36 = LCM(27, 36) × 3 = 324 Therefore, 324 is the compelled number.

If the LCM that 36 and also 27 is 108, discover its GCF.

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LCM(36, 27) × GCF(36, 27) = 36 × 27Since the LCM that 36 and also 27 = 108⇒ 108 × GCF(36, 27) = 972Therefore, the greatest common factor (GCF) = 972/108 = 9.