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Least Common Multiple of 6/23, 9/45, 27/89, 36/117

Know Least Common Multiple of fractions 6/23, 9/45, 27/89, 36/117 quickly i.e. 108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6/23, 9/45, 27/89, 36/117 is 108.

LCM(6/23, 9/45, 27/89, 36/117) = 108

LCM of 6/23, 9/45, 27/89, 36/117

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Given numbers are 6/23,9/45,27/89,36/117

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 6,9,27,36

Least Common Multiple of Numerators i.e. LCM of 6,9,27,36 is 108.

GCF of Denominators means GCF of 23,45,89,117 as per the given fractions.

GCF of 23,45,89,117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6,9,27,36

Least Common Multiple (LCM) of 6,9,27,36 By Common Division

2 6, 9, 27, 36
3 3, 9, 27, 18
3 1, 3, 9, 6
1, 1, 3, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 1 x 1 x 3 x 2 = 108

Least Common Multiple of 6,9,27,36 with GCF Formula

Least Common Multiple of 6,9,27,36 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 6,9,27,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6,9,27,36) = 3

common factors(in case of two or more numbers have common factors) = 162

GCF(6,9,27,36) x common factors =3 x 162 = 486

LCM(6,9,27,36) = ( 6 × 9 × 27 × 36 ) / 486

LCM(6,9,27,36) = 52488 / 486

LCM(6,9,27,36) = 108


Lets's calculate GCF of 23,45,89,117

Greatest Common Factor (GCF) of 23,45,89,117 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108/1

Therefore the LCM of Fractions 6/23,9/45,27/89,36/117 is 108

Greatest Common Factor of 23,45,89,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,45,89,117 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 23,45,89,117 . The biggest common factor number is the GCF number.
So the greatest common factor 23,45,89,117 is 1.


LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6/23, 9/45, 27/89, 36/117

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 6/23, 9/45, 27/89, 36/117?

Answer: LCM of Numerators as per given numbers 6/23, 9/45, 27/89, 36/117 is

LCM of Numerators i.e. for 6,9,27,36 is 108

GCF of denominators i.e. for 23,45,89,117 is 1.

Thus, LCM of Fractions is 108.Finally, LCM of Fractions for 6/23, 9/45, 27/89, 36/117 is 108.