Least Common Multiple of 532/78, 906/27, 767/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 532/78, 906/27, 767/165 quickly i.e. 61614644 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 532/78, 906/27, 767/165 is 61614644.

LCM(532/78, 906/27, 767/165) = 61614644

LCM of 532/78, 906/27, 767/165

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 532/78,906/27,767/165

Given numbers are 532/78,906/27,767/165

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 532,906,767

Least Common Multiple of Numerators i.e. LCM of 532,906,767 is 184843932.

GCF of Denominators means GCF of 78,27,165 as per the given fractions.

GCF of 78,27,165 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 532,906,767

LCM of Fractions 532/78,906/27,767/165 is 61614644

2 532, 906, 767
266, 453, 767

∴ So the LCM of the given numbers is 2 x 266 x 453 x 767 = 184843932

Least Common Multiple of 532,906,767 with GCF Formula

Least Common Multiple of 532,906,767 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 532,906,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(532,906,767) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(532,906,767) x common factors =1 x 2 = 2

LCM(532,906,767) = ( 532 × 906 × 767 ) / 2

LCM(532,906,767) = 369687864 / 2

LCM(532,906,767) = 184843932


Lets's calculate GCF of 78,27,165

3 78, 27, 165
26, 9, 55

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 184843932/3

Therefore the LCM of Fractions 532/78,906/27,767/165 is 61614644

Greatest Common Factor of 78,27,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,27,165 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 78,27,165 . The biggest common factor number is the GCF number.
So the greatest common factor 78,27,165 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 532/78, 906/27, 767/165

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 532/78, 906/27, 767/165?

Answer: LCM of Numerators as per given numbers 532/78, 906/27, 767/165 is

LCM of Numerators i.e. for 532,906,767 is 184843932

GCF of denominators i.e. for 78,27,165 is 3.

Thus, LCM of Fractions is 61614644.Finally, LCM of Fractions for 532/78, 906/27, 767/165 is 61614644.