Least Common Multiple of 491/21, 627/7908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 491/21, 627/7908 quickly i.e. 102619 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 491/21, 627/7908 is 102619.

LCM(491/21, 627/7908) = 102619

LCM of 491/21, 627/7908

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 491/21,627/7908

Given numbers are 491/21,627/7908

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 491,627

Least Common Multiple of Numerators i.e. LCM of 491,627 is 307857.

GCF of Denominators means GCF of 21,7908 as per the given fractions.

GCF of 21,7908 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 491,627

LCM of Fractions 491/21,627/7908 is 102619

Given numbers has no common factors except 1. So, there LCM is their product i.e 307857

Least Common Multiple of 491,627 with GCF Formula

Least Common Multiple of 491,627 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 491,627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(491,627) = 1

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

GCF(491,627) x common factors =1 x 1 = 1

LCM(491,627) = ( 491 × 627 ) / 1

LCM(491,627) = 307857 / 1

LCM(491,627) = 307857


Lets's calculate GCF of 21,7908

3 21, 7908
7, 2636

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307857/3

Therefore the LCM of Fractions 491/21,627/7908 is 102619

Greatest Common Factor of 21,7908 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,7908 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 7908

List of positive integer factors of 7908 that divides 7908 without a remainder.

1,2,3,4,6,12,659,1318,1977,2636,3954,7908

Greatest Common Factor

We found the factors 21,7908 . The biggest common factor number is the GCF number.
So the greatest common factor 21,7908 is 3.


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 491/21, 627/7908

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 491/21, 627/7908?

Answer: LCM of Numerators as per given numbers 491/21, 627/7908 is

LCM of Numerators i.e. for 491,627 is 307857

GCF of denominators i.e. for 21,7908 is 3.

Thus, LCM of Fractions is 102619.Finally, LCM of Fractions for 491/21, 627/7908 is 102619.