Least Common Multiple of 6540/976, 8910/8142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6540/976, 8910/8142 quickly i.e. 971190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6540/976, 8910/8142 is 971190.

LCM(6540/976, 8910/8142) = 971190

LCM of 6540/976, 8910/8142

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 6540/976,8910/8142

Given numbers are 6540/976,8910/8142

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 6540,8910

Least Common Multiple of Numerators i.e. LCM of 6540,8910 is 1942380.

GCF of Denominators means GCF of 976,8142 as per the given fractions.

GCF of 976,8142 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6540,8910

LCM of Fractions 6540/976,8910/8142 is 971190

2 6540, 8910
3 3270, 4455
5 1090, 1485
218, 297

∴ So the LCM of the given numbers is 2 x 3 x 5 x 218 x 297 = 1942380

Least Common Multiple of 6540,8910 with GCF Formula

Least Common Multiple of 6540,8910 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 6540,8910 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6540,8910) = 30

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

GCF(6540,8910) x common factors =30 x 1 = 30

LCM(6540,8910) = ( 6540 × 8910 ) / 30

LCM(6540,8910) = 58271400 / 30

LCM(6540,8910) = 1942380


Lets's calculate GCF of 976,8142

2 976, 8142
488, 4071

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1942380/2

Therefore the LCM of Fractions 6540/976,8910/8142 is 971190

Greatest Common Factor of 976,8142 By Matching Biggest Common Factor Method

Greatest Common Factor of 976,8142 By Matching Biggest Common Factor Method

Factors of 976

List of positive integer factors of 976 that divides 976 without a remainder.

1,2,4,8,16,61,122,244,488,976

Factors of 8142

List of positive integer factors of 8142 that divides 8142 without a remainder.

1,2,3,6,23,46,59,69,118,138,177,354,1357,2714,4071,8142

Greatest Common Factor

We found the factors 976,8142 . The biggest common factor number is the GCF number.
So the greatest common factor 976,8142 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 6540/976, 8910/8142

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 6540/976, 8910/8142?

Answer: LCM of Numerators as per given numbers 6540/976, 8910/8142 is

LCM of Numerators i.e. for 6540,8910 is 1942380

GCF of denominators i.e. for 976,8142 is 2.

Thus, LCM of Fractions is 971190.Finally, LCM of Fractions for 6540/976, 8910/8142 is 971190.