Least Common Multiple of 637/21, 357/8478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 637/21, 357/8478 quickly i.e. 10829 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 637/21, 357/8478 is 10829.

LCM(637/21, 357/8478) = 10829

LCM of 637/21, 357/8478

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 637/21,357/8478

Given numbers are 637/21,357/8478

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 637,357

Least Common Multiple of Numerators i.e. LCM of 637,357 is 32487.

GCF of Denominators means GCF of 21,8478 as per the given fractions.

GCF of 21,8478 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 637,357

LCM of Fractions 637/21,357/8478 is 10829

7 637, 357
91, 51

∴ So the LCM of the given numbers is 7 x 91 x 51 = 32487

Least Common Multiple of 637,357 with GCF Formula

Least Common Multiple of 637,357 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 637,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(637,357) = 7

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

GCF(637,357) x common factors =7 x 1 = 7

LCM(637,357) = ( 637 × 357 ) / 7

LCM(637,357) = 227409 / 7

LCM(637,357) = 32487


Lets's calculate GCF of 21,8478

3 21, 8478
7, 2826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32487/3

Therefore the LCM of Fractions 637/21,357/8478 is 10829

Greatest Common Factor of 21,8478 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,8478 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 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Greatest Common Factor

We found the factors 21,8478 . The biggest common factor number is the GCF number.
So the greatest common factor 21,8478 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 637/21, 357/8478

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 637/21, 357/8478?

Answer: LCM of Numerators as per given numbers 637/21, 357/8478 is

LCM of Numerators i.e. for 637,357 is 32487

GCF of denominators i.e. for 21,8478 is 3.

Thus, LCM of Fractions is 10829.Finally, LCM of Fractions for 637/21, 357/8478 is 10829.