Least Common Multiple of 8562/76, 1041/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8562/76, 1041/979 quickly i.e. 2971014 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8562/76, 1041/979 is 2971014.

LCM(8562/76, 1041/979) = 2971014

LCM of 8562/76, 1041/979

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 8562/76,1041/979

Given numbers are 8562/76,1041/979

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 8562,1041

Least Common Multiple of Numerators i.e. LCM of 8562,1041 is 2971014.

GCF of Denominators means GCF of 76,979 as per the given fractions.

GCF of 76,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8562,1041

LCM of Fractions 8562/76,1041/979 is 2971014

3 8562, 1041
2854, 347

∴ So the LCM of the given numbers is 3 x 2854 x 347 = 2971014

Least Common Multiple of 8562,1041 with GCF Formula

Least Common Multiple of 8562,1041 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 8562,1041 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8562,1041) = 3

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

GCF(8562,1041) x common factors =3 x 1 = 3

LCM(8562,1041) = ( 8562 × 1041 ) / 3

LCM(8562,1041) = 8913042 / 3

LCM(8562,1041) = 2971014


Lets's calculate GCF of 76,979

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2971014/1

Therefore the LCM of Fractions 8562/76,1041/979 is 2971014

Greatest Common Factor of 76,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,979 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 76,979 . The biggest common factor number is the GCF number.
So the greatest common factor 76,979 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 8562/76, 1041/979

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 8562/76, 1041/979?

Answer: LCM of Numerators as per given numbers 8562/76, 1041/979 is

LCM of Numerators i.e. for 8562,1041 is 2971014

GCF of denominators i.e. for 76,979 is 1.

Thus, LCM of Fractions is 2971014.Finally, LCM of Fractions for 8562/76, 1041/979 is 2971014.