Least Common Multiple of 87/301, 49/356, 979/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/301, 49/356, 979/255 quickly i.e. 4173477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/301, 49/356, 979/255 is 4173477.

LCM(87/301, 49/356, 979/255) = 4173477

LCM of 87/301, 49/356, 979/255

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 87/301,49/356,979/255

Given numbers are 87/301,49/356,979/255

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 87,49,979

Least Common Multiple of Numerators i.e. LCM of 87,49,979 is 4173477.

GCF of Denominators means GCF of 301,356,255 as per the given fractions.

GCF of 301,356,255 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,49,979

LCM of Fractions 87/301,49/356,979/255 is 4173477

Given numbers has no common factors except 1. So, there LCM is their product i.e 4173477

Least Common Multiple of 87,49,979 with GCF Formula

Least Common Multiple of 87,49,979 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 87,49,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,49,979) = 1

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

GCF(87,49,979) x common factors =1 x 1 = 1

LCM(87,49,979) = ( 87 × 49 × 979 ) / 1

LCM(87,49,979) = 4173477 / 1

LCM(87,49,979) = 4173477


Lets's calculate GCF of 301,356,255

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4173477/1

Therefore the LCM of Fractions 87/301,49/356,979/255 is 4173477

Greatest Common Factor of 301,356,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,356,255 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Factors of 255

List of positive integer factors of 255 that divides 255 without a remainder.

1,3,5,15,17,51,85,255

Greatest Common Factor

We found the factors 301,356,255 . The biggest common factor number is the GCF number.
So the greatest common factor 301,356,255 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 87/301, 49/356, 979/255

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 87/301, 49/356, 979/255?

Answer: LCM of Numerators as per given numbers 87/301, 49/356, 979/255 is

LCM of Numerators i.e. for 87,49,979 is 4173477

GCF of denominators i.e. for 301,356,255 is 1.

Thus, LCM of Fractions is 4173477.Finally, LCM of Fractions for 87/301, 49/356, 979/255 is 4173477.