Least Common Multiple of 76/278, 9857/2980

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/278, 9857/2980 quickly i.e. 374566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/278, 9857/2980 is 374566.

LCM(76/278, 9857/2980) = 374566

LCM of 76/278, 9857/2980

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 76/278,9857/2980

Given numbers are 76/278,9857/2980

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 76,9857

Least Common Multiple of Numerators i.e. LCM of 76,9857 is 749132.

GCF of Denominators means GCF of 278,2980 as per the given fractions.

GCF of 278,2980 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,9857

LCM of Fractions 76/278,9857/2980 is 374566

Given numbers has no common factors except 1. So, there LCM is their product i.e 749132

Least Common Multiple of 76,9857 with GCF Formula

Least Common Multiple of 76,9857 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 76,9857 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,9857) = 1

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

GCF(76,9857) x common factors =1 x 1 = 1

LCM(76,9857) = ( 76 × 9857 ) / 1

LCM(76,9857) = 749132 / 1

LCM(76,9857) = 749132


Lets's calculate GCF of 278,2980

2 278, 2980
139, 1490

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 749132/2

Therefore the LCM of Fractions 76/278,9857/2980 is 374566

Greatest Common Factor of 278,2980 By Matching Biggest Common Factor Method

Greatest Common Factor of 278,2980 By Matching Biggest Common Factor Method

Factors of 278

List of positive integer factors of 278 that divides 278 without a remainder.

1,2,139,278

Factors of 2980

List of positive integer factors of 2980 that divides 2980 without a remainder.

1,2,4,5,10,20,149,298,596,745,1490,2980

Greatest Common Factor

We found the factors 278,2980 . The biggest common factor number is the GCF number.
So the greatest common factor 278,2980 is 2.


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 76/278, 9857/2980

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 76/278, 9857/2980?

Answer: LCM of Numerators as per given numbers 76/278, 9857/2980 is

LCM of Numerators i.e. for 76,9857 is 749132

GCF of denominators i.e. for 278,2980 is 2.

Thus, LCM of Fractions is 374566.Finally, LCM of Fractions for 76/278, 9857/2980 is 374566.