LCM of 18 and also 27 is the the smallest number among all common multiples the 18 and 27. The first few multiples that 18 and 27 space (18, 36, 54, 72, 90, 108, 126, . . . ) and (27, 54, 81, 108, 135, . . . ) respectively. There room 3 commonly used techniques to discover LCM of 18 and also 27 - through listing multiples, by department method, and by element factorization.

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

Answer: LCM that 18 and also 27 is 54.

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Explanation:

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


The approaches to uncover the LCM the 18 and also 27 are described below.

By Listing MultiplesBy department MethodBy prime Factorization Method

LCM that 18 and 27 by Listing Multiples

To calculate the LCM of 18 and also 27 by listing out the typical multiples, we deserve to follow the given listed 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 native the multiples the 18 and 27 room 54, 108, . . .Step 3: The smallest typical multiple of 18 and also 27 is 54.

∴ The least common multiple that 18 and also 27 = 54.

LCM that 18 and also 27 by division Method

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To calculate the LCM of 18 and 27 by the division method, we will divide the numbers(18, 27) by your prime factors (preferably common). The product of these divisors offers the LCM the 18 and 27.

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

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

LCM of 18 and also 27 by element Factorization

Prime administrate of 18 and also 27 is (2 × 3 × 3) = 21 × 32 and (3 × 3 × 3) = 33 respectively. LCM the 18 and 27 can be derived by multiplying prime factors raised to their respective highest possible power, i.e. 21 × 33 = 54.Hence, the LCM that 18 and 27 by prime factorization is 54.

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FAQs ~ above LCM of 18 and also 27

What is the LCM that 18 and 27?

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

What room the techniques to discover LCM the 18 and 27?

The commonly used approaches to discover the LCM of 18 and also 27 are:

Listing MultiplesDivision MethodPrime administrate Method

What is the Relation in between GCF and LCM of 18, 27?

The following equation can be provided to express the relation between GCF and LCM of 18 and 27, i.e. GCF × LCM = 18 × 27.

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

To uncover the LCM the 18 and also 27 utilizing prime factorization, we will find the element factors, (18 = 2 × 3 × 3) and also (27 = 3 × 3 × 3). LCM that 18 and 27 is the product of prime factors raised to their respective greatest exponent among the numbers 18 and also 27.⇒ LCM the 18, 27 = 21 × 33 = 54.

If the LCM of 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 typical factor) = 486/54 = 9.