Least Common Multiple of 627/57, 873/82, 678/658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 627/57, 873/82, 678/658 quickly i.e. 41235282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 627/57, 873/82, 678/658 is 41235282.

LCM(627/57, 873/82, 678/658) = 41235282

LCM of 627/57, 873/82, 678/658

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 627/57,873/82,678/658

Given numbers are 627/57,873/82,678/658

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 627,873,678

Least Common Multiple of Numerators i.e. LCM of 627,873,678 is 41235282.

GCF of Denominators means GCF of 57,82,658 as per the given fractions.

GCF of 57,82,658 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 627,873,678

LCM of Fractions 627/57,873/82,678/658 is 41235282

3 627, 873, 678
209, 291, 226

∴ So the LCM of the given numbers is 3 x 209 x 291 x 226 = 41235282

Least Common Multiple of 627,873,678 with GCF Formula

Least Common Multiple of 627,873,678 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 627,873,678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,873,678) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(627,873,678) x common factors =3 x 3 = 9

LCM(627,873,678) = ( 627 × 873 × 678 ) / 9

LCM(627,873,678) = 371117538 / 9

LCM(627,873,678) = 41235282


Lets's calculate GCF of 57,82,658

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 41235282/1

Therefore the LCM of Fractions 627/57,873/82,678/658 is 41235282

Greatest Common Factor of 57,82,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,82,658 By Matching Biggest Common Factor Method

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 82

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

1,2,41,82

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 57,82,658 . The biggest common factor number is the GCF number.
So the greatest common factor 57,82,658 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 627/57, 873/82, 678/658

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 627/57, 873/82, 678/658?

Answer: LCM of Numerators as per given numbers 627/57, 873/82, 678/658 is

LCM of Numerators i.e. for 627,873,678 is 41235282

GCF of denominators i.e. for 57,82,658 is 1.

Thus, LCM of Fractions is 41235282.Finally, LCM of Fractions for 627/57, 873/82, 678/658 is 41235282.