Least Common Multiple of 36/378, 85/429, 384/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/378, 85/429, 384/132 quickly i.e. 32640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/378, 85/429, 384/132 is 32640.

LCM(36/378, 85/429, 384/132) = 32640

LCM of 36/378, 85/429, 384/132

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 36/378,85/429,384/132

Given numbers are 36/378,85/429,384/132

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 36,85,384

Least Common Multiple of Numerators i.e. LCM of 36,85,384 is 97920.

GCF of Denominators means GCF of 378,429,132 as per the given fractions.

GCF of 378,429,132 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,85,384

LCM of Fractions 36/378,85/429,384/132 is 32640

2 36, 85, 384
2 18, 85, 192
3 9, 85, 96
3, 85, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 85 x 32 = 97920

Least Common Multiple of 36,85,384 with GCF Formula

Least Common Multiple of 36,85,384 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 36,85,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,85,384) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(36,85,384) x common factors =1 x 12 = 12

LCM(36,85,384) = ( 36 × 85 × 384 ) / 12

LCM(36,85,384) = 1175040 / 12

LCM(36,85,384) = 97920


Lets's calculate GCF of 378,429,132

3 378, 429, 132
126, 143, 44

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97920/3

Therefore the LCM of Fractions 36/378,85/429,384/132 is 32640

Greatest Common Factor of 378,429,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 378,429,132 By Matching Biggest Common Factor Method

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 429

List of positive integer factors of 429 that divides 429 without a remainder.

1,3,11,13,33,39,143,429

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 378,429,132 . The biggest common factor number is the GCF number.
So the greatest common factor 378,429,132 is 3.


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 36/378, 85/429, 384/132

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 36/378, 85/429, 384/132?

Answer: LCM of Numerators as per given numbers 36/378, 85/429, 384/132 is

LCM of Numerators i.e. for 36,85,384 is 97920

GCF of denominators i.e. for 378,429,132 is 3.

Thus, LCM of Fractions is 32640.Finally, LCM of Fractions for 36/378, 85/429, 384/132 is 32640.