Least Common Multiple of 36/71, 92/12, 484/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/71, 92/12, 484/578 quickly i.e. 100188 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/71, 92/12, 484/578 is 100188.

LCM(36/71, 92/12, 484/578) = 100188

LCM of 36/71, 92/12, 484/578

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 36/71,92/12,484/578

Given numbers are 36/71,92/12,484/578

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 36,92,484

Least Common Multiple of Numerators i.e. LCM of 36,92,484 is 100188.

GCF of Denominators means GCF of 71,12,578 as per the given fractions.

GCF of 71,12,578 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,92,484

LCM of Fractions 36/71,92/12,484/578 is 100188

2 36, 92, 484
2 18, 46, 242
9, 23, 121

∴ So the LCM of the given numbers is 2 x 2 x 9 x 23 x 121 = 100188

Least Common Multiple of 36,92,484 with GCF Formula

Least Common Multiple of 36,92,484 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 36,92,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,92,484) = 4

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

GCF(36,92,484) x common factors =4 x 4 = 16

LCM(36,92,484) = ( 36 × 92 × 484 ) / 16

LCM(36,92,484) = 1603008 / 16

LCM(36,92,484) = 100188


Lets's calculate GCF of 71,12,578

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 100188/1

Therefore the LCM of Fractions 36/71,92/12,484/578 is 100188

Greatest Common Factor of 71,12,578 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,12,578 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Greatest Common Factor

We found the factors 71,12,578 . The biggest common factor number is the GCF number.
So the greatest common factor 71,12,578 is 1.


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 36/71, 92/12, 484/578

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 36/71, 92/12, 484/578?

Answer: LCM of Numerators as per given numbers 36/71, 92/12, 484/578 is

LCM of Numerators i.e. for 36,92,484 is 100188

GCF of denominators i.e. for 71,12,578 is 1.

Thus, LCM of Fractions is 100188.Finally, LCM of Fractions for 36/71, 92/12, 484/578 is 100188.