Least Common Multiple of 876/66, 6912/159

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 876/66, 6912/159 quickly i.e. 168192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 876/66, 6912/159 is 168192.

LCM(876/66, 6912/159) = 168192

LCM of 876/66, 6912/159

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 876/66,6912/159

Given numbers are 876/66,6912/159

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 876,6912

Least Common Multiple of Numerators i.e. LCM of 876,6912 is 504576.

GCF of Denominators means GCF of 66,159 as per the given fractions.

GCF of 66,159 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 876,6912

LCM of Fractions 876/66,6912/159 is 168192

2 876, 6912
2 438, 3456
3 219, 1728
73, 576

∴ So the LCM of the given numbers is 2 x 2 x 3 x 73 x 576 = 504576

Least Common Multiple of 876,6912 with GCF Formula

Least Common Multiple of 876,6912 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 876,6912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(876,6912) = 12

common factors(in case of two or more numbers have common factors) = 1

GCF(876,6912) x common factors =12 x 1 = 12

LCM(876,6912) = ( 876 × 6912 ) / 12

LCM(876,6912) = 6054912 / 12

LCM(876,6912) = 504576


Lets's calculate GCF of 66,159

3 66, 159
22, 53

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 504576/3

Therefore the LCM of Fractions 876/66,6912/159 is 168192

Greatest Common Factor of 66,159 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,159 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Greatest Common Factor

We found the factors 66,159 . The biggest common factor number is the GCF number.
So the greatest common factor 66,159 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 876/66, 6912/159

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 876/66, 6912/159?

Answer: LCM of Numerators as per given numbers 876/66, 6912/159 is

LCM of Numerators i.e. for 876,6912 is 504576

GCF of denominators i.e. for 66,159 is 3.

Thus, LCM of Fractions is 168192.Finally, LCM of Fractions for 876/66, 6912/159 is 168192.