Least Common Multiple of 21/615, 6537/9908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/615, 6537/9908 quickly i.e. 45759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/615, 6537/9908 is 45759.

LCM(21/615, 6537/9908) = 45759

LCM of 21/615, 6537/9908

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 21/615,6537/9908

Given numbers are 21/615,6537/9908

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 21,6537

Least Common Multiple of Numerators i.e. LCM of 21,6537 is 45759.

GCF of Denominators means GCF of 615,9908 as per the given fractions.

GCF of 615,9908 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,6537

LCM of Fractions 21/615,6537/9908 is 45759

3 21, 6537
7, 2179

∴ So the LCM of the given numbers is 3 x 7 x 2179 = 45759

Least Common Multiple of 21,6537 with GCF Formula

Least Common Multiple of 21,6537 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 21,6537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,6537) = 3

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

GCF(21,6537) x common factors =3 x 1 = 3

LCM(21,6537) = ( 21 × 6537 ) / 3

LCM(21,6537) = 137277 / 3

LCM(21,6537) = 45759


Lets's calculate GCF of 615,9908

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45759/1

Therefore the LCM of Fractions 21/615,6537/9908 is 45759

Greatest Common Factor of 615,9908 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,9908 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 9908

List of positive integer factors of 9908 that divides 9908 without a remainder.

1,2,4,2477,4954,9908

Greatest Common Factor

We found the factors 615,9908 . The biggest common factor number is the GCF number.
So the greatest common factor 615,9908 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 21/615, 6537/9908

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 21/615, 6537/9908?

Answer: LCM of Numerators as per given numbers 21/615, 6537/9908 is

LCM of Numerators i.e. for 21,6537 is 45759

GCF of denominators i.e. for 615,9908 is 1.

Thus, LCM of Fractions is 45759.Finally, LCM of Fractions for 21/615, 6537/9908 is 45759.