Least Common Multiple of 678/76, 422/82, 987/28

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 678/76, 422/82, 987/28 quickly i.e. 23533041 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 678/76, 422/82, 987/28 is 23533041.

LCM(678/76, 422/82, 987/28) = 23533041

LCM of 678/76, 422/82, 987/28

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 678/76,422/82,987/28

Given numbers are 678/76,422/82,987/28

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 678,422,987

Least Common Multiple of Numerators i.e. LCM of 678,422,987 is 47066082.

GCF of Denominators means GCF of 76,82,28 as per the given fractions.

GCF of 76,82,28 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 678,422,987

LCM of Fractions 678/76,422/82,987/28 is 23533041

2 678, 422, 987
3 339, 211, 987
113, 211, 329

∴ So the LCM of the given numbers is 2 x 3 x 113 x 211 x 329 = 47066082

Least Common Multiple of 678,422,987 with GCF Formula

Least Common Multiple of 678,422,987 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 678,422,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,422,987) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(678,422,987) x common factors =1 x 6 = 6

LCM(678,422,987) = ( 678 × 422 × 987 ) / 6

LCM(678,422,987) = 282396492 / 6

LCM(678,422,987) = 47066082


Lets's calculate GCF of 76,82,28

2 76, 82, 28
38, 41, 14

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47066082/2

Therefore the LCM of Fractions 678/76,422/82,987/28 is 23533041

Greatest Common Factor of 76,82,28 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,82,28 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 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Greatest Common Factor

We found the factors 76,82,28 . The biggest common factor number is the GCF number.
So the greatest common factor 76,82,28 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 678/76, 422/82, 987/28

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 678/76, 422/82, 987/28?

Answer: LCM of Numerators as per given numbers 678/76, 422/82, 987/28 is

LCM of Numerators i.e. for 678,422,987 is 47066082

GCF of denominators i.e. for 76,82,28 is 2.

Thus, LCM of Fractions is 23533041.Finally, LCM of Fractions for 678/76, 422/82, 987/28 is 23533041.