LCM that 18 and also 20 is the smallest number amongst all typical multiples the 18 and 20. The first couple of multiples the 18 and also 20 room (18, 36, 54, 72, 90, 108, 126, . . . ) and (20, 40, 60, 80, . . . ) respectively. There space 3 commonly used techniques to find LCM that 18 and also 20 - by prime factorization, by division method, and by listing multiples.

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1.LCM of 18 and also 20
2.List that Methods
3.Solved Examples
4.FAQs

Answer: LCM that 18 and also 20 is 180.

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Explanation:

The LCM of 2 non-zero integers, x(18) and y(20), is the smallest positive integer m(180) the is divisible through both x(18) and y(20) without any kind of remainder.


The techniques to discover the LCM the 18 and 20 are described below.

By prime Factorization MethodBy Listing MultiplesBy department Method

LCM that 18 and also 20 by element Factorization

Prime administer of 18 and 20 is (2 × 3 × 3) = 21 × 32 and (2 × 2 × 5) = 22 × 51 respectively. LCM that 18 and also 20 deserve to be obtained by multiplying prime factors raised to your respective highest possible power, i.e. 22 × 32 × 51 = 180.Hence, the LCM of 18 and also 20 by prime factorization is 180.

LCM that 18 and 20 by Listing Multiples

To calculation the LCM of 18 and 20 by listing out the typical multiples, we have the right to follow the given below steps:

Step 1: perform a couple of multiples that 18 (18, 36, 54, 72, 90, 108, 126, . . . ) and also 20 (20, 40, 60, 80, . . . . )Step 2: The common multiples native the multiples of 18 and 20 are 180, 360, . . .Step 3: The smallest typical multiple of 18 and also 20 is 180.

∴ The least usual multiple that 18 and also 20 = 180.

LCM that 18 and 20 by division Method

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To calculation the LCM the 18 and 20 by the division method, we will certainly divide the numbers(18, 20) by their prime determinants (preferably common). The product of this divisors provides the LCM the 18 and also 20.

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

The LCM the 18 and also 20 is the product of all prime number on the left, i.e. LCM(18, 20) by department method = 2 × 2 × 3 × 3 × 5 = 180.

☛ additionally Check:


Example 3: Verify the relationship in between GCF and LCM that 18 and also 20.

Solution:

The relation in between GCF and also LCM of 18 and also 20 is provided as,LCM(18, 20) × GCF(18, 20) = Product that 18, 20Prime factorization of 18 and also 20 is given as, 18 = (2 × 3 × 3) = 21 × 32 and also 20 = (2 × 2 × 5) = 22 × 51LCM(18, 20) = 180GCF(18, 20) = 2LHS = LCM(18, 20) × GCF(18, 20) = 180 × 2 = 360RHS = Product the 18, 20 = 18 × 20 = 360⇒ LHS = RHS = 360Hence, verified.


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FAQs ~ above LCM the 18 and also 20

What is the LCM the 18 and also 20?

The LCM the 18 and 20 is 180. To discover the LCM of 18 and also 20, we need to find the multiples the 18 and 20 (multiples that 18 = 18, 36, 54, 72 . . . . 180; multiples of 20 = 20, 40, 60, 80 . . . . 180) and choose the the smallest multiple that is precisely divisible by 18 and 20, i.e., 180.

Which that the following is the LCM of 18 and also 20? 180, 15, 36, 35

The worth of LCM the 18, 20 is the smallest common multiple that 18 and also 20. The number satisfying the given problem is 180.

What is the the very least Perfect Square Divisible by 18 and 20?

The least number divisible by 18 and also 20 = LCM(18, 20)LCM of 18 and also 20 = 2 × 2 × 3 × 3 × 5 ⇒ least perfect square divisible by each 18 and 20 = LCM(18, 20) × 5 = 900 Therefore, 900 is the compelled number.

What are the approaches to find LCM that 18 and 20?

The frequently used methods to uncover the LCM of 18 and 20 are:

Listing MultiplesPrime factorization MethodDivision Method

If the LCM that 20 and 18 is 180, find its GCF.

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LCM(20, 18) × GCF(20, 18) = 20 × 18Since the LCM of 20 and 18 = 180⇒ 180 × GCF(20, 18) = 360Therefore, the GCF (greatest usual factor) = 360/180 = 2.