Least Common Multiple of 6978/56, 3716/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6978/56, 3716/130 quickly i.e. 6482562 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6978/56, 3716/130 is 6482562.

LCM(6978/56, 3716/130) = 6482562

LCM of 6978/56, 3716/130

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 6978/56,3716/130

Given numbers are 6978/56,3716/130

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 6978,3716

Least Common Multiple of Numerators i.e. LCM of 6978,3716 is 12965124.

GCF of Denominators means GCF of 56,130 as per the given fractions.

GCF of 56,130 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6978,3716

LCM of Fractions 6978/56,3716/130 is 6482562

2 6978, 3716
3489, 1858

∴ So the LCM of the given numbers is 2 x 3489 x 1858 = 12965124

Least Common Multiple of 6978,3716 with GCF Formula

Least Common Multiple of 6978,3716 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 6978,3716 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6978,3716) = 2

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

GCF(6978,3716) x common factors =2 x 1 = 2

LCM(6978,3716) = ( 6978 × 3716 ) / 2

LCM(6978,3716) = 25930248 / 2

LCM(6978,3716) = 12965124


Lets's calculate GCF of 56,130

2 56, 130
28, 65

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12965124/2

Therefore the LCM of Fractions 6978/56,3716/130 is 6482562

Greatest Common Factor of 56,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,130 By Matching Biggest Common Factor Method

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 56,130 . The biggest common factor number is the GCF number.
So the greatest common factor 56,130 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 6978/56, 3716/130

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 6978/56, 3716/130?

Answer: LCM of Numerators as per given numbers 6978/56, 3716/130 is

LCM of Numerators i.e. for 6978,3716 is 12965124

GCF of denominators i.e. for 56,130 is 2.

Thus, LCM of Fractions is 6482562.Finally, LCM of Fractions for 6978/56, 3716/130 is 6482562.