Least Common Multiple of 36/136, 95/422, 316/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/136, 95/422, 316/100 quickly i.e. 135090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/136, 95/422, 316/100 is 135090.

LCM(36/136, 95/422, 316/100) = 135090

LCM of 36/136, 95/422, 316/100

Enter two or more fractions separated by "commas"

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

LCM of:

Least Common Multiple of 36/136,95/422,316/100

Given numbers are 36/136,95/422,316/100

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 36,95,316

Least Common Multiple of Numerators i.e. LCM of 36,95,316 is 270180.

GCF of Denominators means GCF of 136,422,100 as per the given fractions.

GCF of 136,422,100 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,95,316

LCM of Fractions 36/136,95/422,316/100 is 135090

2 36, 95, 316
2 18, 95, 158
9, 95, 79

∴ So the LCM of the given numbers is 2 x 2 x 9 x 95 x 79 = 270180

Least Common Multiple of 36,95,316 with GCF Formula

Least Common Multiple of 36,95,316 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 36,95,316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,95,316) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,95,316) x common factors =1 x 4 = 4

LCM(36,95,316) = ( 36 × 95 × 316 ) / 4

LCM(36,95,316) = 1080720 / 4

LCM(36,95,316) = 270180


Lets's calculate GCF of 136,422,100

2 136, 422, 100
68, 211, 50

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 270180/2

Therefore the LCM of Fractions 36/136,95/422,316/100 is 135090

Greatest Common Factor of 136,422,100 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,422,100 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 422

List of positive integer factors of 422 that divides 422 without a remainder.

1,2,211,422

Factors of 100

List of positive integer factors of 100 that divides 100 without a remainder.

1,2,4,5,10,20,25,50,100

Greatest Common Factor

We found the factors 136,422,100 . The biggest common factor number is the GCF number.
So the greatest common factor 136,422,100 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 36/136, 95/422, 316/100

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 36/136, 95/422, 316/100?

Answer: LCM of Numerators as per given numbers 36/136, 95/422, 316/100 is

LCM of Numerators i.e. for 36,95,316 is 270180

GCF of denominators i.e. for 136,422,100 is 2.

Thus, LCM of Fractions is 135090.Finally, LCM of Fractions for 36/136, 95/422, 316/100 is 135090.