Least Common Multiple of 54/177, 60/706, 979/158

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/177, 60/706, 979/158 quickly i.e. 528660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/177, 60/706, 979/158 is 528660.

LCM(54/177, 60/706, 979/158) = 528660

LCM of 54/177, 60/706, 979/158

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 54/177,60/706,979/158

Given numbers are 54/177,60/706,979/158

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 54,60,979

Least Common Multiple of Numerators i.e. LCM of 54,60,979 is 528660.

GCF of Denominators means GCF of 177,706,158 as per the given fractions.

GCF of 177,706,158 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,60,979

LCM of Fractions 54/177,60/706,979/158 is 528660

2 54, 60, 979
3 27, 30, 979
9, 10, 979

∴ So the LCM of the given numbers is 2 x 3 x 9 x 10 x 979 = 528660

Least Common Multiple of 54,60,979 with GCF Formula

Least Common Multiple of 54,60,979 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 54,60,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,60,979) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(54,60,979) x common factors =1 x 6 = 6

LCM(54,60,979) = ( 54 × 60 × 979 ) / 6

LCM(54,60,979) = 3171960 / 6

LCM(54,60,979) = 528660


Lets's calculate GCF of 177,706,158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 528660/1

Therefore the LCM of Fractions 54/177,60/706,979/158 is 528660

Greatest Common Factor of 177,706,158 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,706,158 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 158

List of positive integer factors of 158 that divides 158 without a remainder.

1,2,79,158

Greatest Common Factor

We found the factors 177,706,158 . The biggest common factor number is the GCF number.
So the greatest common factor 177,706,158 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 54/177, 60/706, 979/158

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 54/177, 60/706, 979/158?

Answer: LCM of Numerators as per given numbers 54/177, 60/706, 979/158 is

LCM of Numerators i.e. for 54,60,979 is 528660

GCF of denominators i.e. for 177,706,158 is 1.

Thus, LCM of Fractions is 528660.Finally, LCM of Fractions for 54/177, 60/706, 979/158 is 528660.