Least Common Multiple of 36/507, 6665/1157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/507, 6665/1157 quickly i.e. 239940/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/507, 6665/1157 is 239940/13.

LCM(36/507, 6665/1157) = 239940/13

LCM of 36/507, 6665/1157

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 36/507,6665/1157

Given numbers are 36/507,6665/1157

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 36,6665

Least Common Multiple of Numerators i.e. LCM of 36,6665 is 239940.

GCF of Denominators means GCF of 507,1157 as per the given fractions.

GCF of 507,1157 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,6665

LCM of Fractions 36/507,6665/1157 is 239940/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 239940

Least Common Multiple of 36,6665 with GCF Formula

Least Common Multiple of 36,6665 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 36,6665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,6665) = 1

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

GCF(36,6665) x common factors =1 x 1 = 1

LCM(36,6665) = ( 36 × 6665 ) / 1

LCM(36,6665) = 239940 / 1

LCM(36,6665) = 239940


Lets's calculate GCF of 507,1157

13 507, 1157
39, 89

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 239940/13

Therefore the LCM of Fractions 36/507,6665/1157 is 239940/13

Greatest Common Factor of 507,1157 By Matching Biggest Common Factor Method

Greatest Common Factor of 507,1157 By Matching Biggest Common Factor Method

Factors of 507

List of positive integer factors of 507 that divides 507 without a remainder.

1,3,13,39,169,507

Factors of 1157

List of positive integer factors of 1157 that divides 1157 without a remainder.

1,13,89,1157

Greatest Common Factor

We found the factors 507,1157 . The biggest common factor number is the GCF number.
So the greatest common factor 507,1157 is 13.


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 36/507, 6665/1157

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 36/507, 6665/1157?

Answer: LCM of Numerators as per given numbers 36/507, 6665/1157 is

LCM of Numerators i.e. for 36,6665 is 239940

GCF of denominators i.e. for 507,1157 is 13.

Thus, LCM of Fractions is 239940/13.Finally, LCM of Fractions for 36/507, 6665/1157 is 239940/13.