Least Common Multiple of 36/249, 8145/7902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/249, 8145/7902 quickly i.e. 10860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/249, 8145/7902 is 10860.

LCM(36/249, 8145/7902) = 10860

LCM of 36/249, 8145/7902

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 36/249,8145/7902

Given numbers are 36/249,8145/7902

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 36,8145

Least Common Multiple of Numerators i.e. LCM of 36,8145 is 32580.

GCF of Denominators means GCF of 249,7902 as per the given fractions.

GCF of 249,7902 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,8145

LCM of Fractions 36/249,8145/7902 is 10860

3 36, 8145
3 12, 2715
4, 905

∴ So the LCM of the given numbers is 3 x 3 x 4 x 905 = 32580

Least Common Multiple of 36,8145 with GCF Formula

Least Common Multiple of 36,8145 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 36,8145 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,8145) = 9

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

GCF(36,8145) x common factors =9 x 1 = 9

LCM(36,8145) = ( 36 × 8145 ) / 9

LCM(36,8145) = 293220 / 9

LCM(36,8145) = 32580


Lets's calculate GCF of 249,7902

3 249, 7902
83, 2634

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32580/3

Therefore the LCM of Fractions 36/249,8145/7902 is 10860

Greatest Common Factor of 249,7902 By Matching Biggest Common Factor Method

Greatest Common Factor of 249,7902 By Matching Biggest Common Factor Method

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 7902

List of positive integer factors of 7902 that divides 7902 without a remainder.

1,2,3,6,9,18,439,878,1317,2634,3951,7902

Greatest Common Factor

We found the factors 249,7902 . The biggest common factor number is the GCF number.
So the greatest common factor 249,7902 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 36/249, 8145/7902

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 36/249, 8145/7902?

Answer: LCM of Numerators as per given numbers 36/249, 8145/7902 is

LCM of Numerators i.e. for 36,8145 is 32580

GCF of denominators i.e. for 249,7902 is 3.

Thus, LCM of Fractions is 10860.Finally, LCM of Fractions for 36/249, 8145/7902 is 10860.