Least Common Multiple of 36/137, 501/381, 372/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/137, 501/381, 372/574 quickly i.e. 186372 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/137, 501/381, 372/574 is 186372.

LCM(36/137, 501/381, 372/574) = 186372

LCM of 36/137, 501/381, 372/574

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 36/137,501/381,372/574

Given numbers are 36/137,501/381,372/574

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 36,501,372

Least Common Multiple of Numerators i.e. LCM of 36,501,372 is 186372.

GCF of Denominators means GCF of 137,381,574 as per the given fractions.

GCF of 137,381,574 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,501,372

LCM of Fractions 36/137,501/381,372/574 is 186372

2 36, 501, 372
2 18, 501, 186
3 9, 501, 93
3, 167, 31

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 167 x 31 = 186372

Least Common Multiple of 36,501,372 with GCF Formula

Least Common Multiple of 36,501,372 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 36,501,372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,501,372) = 3

common factors(in case of two or more numbers have common factors) = 12

GCF(36,501,372) x common factors =3 x 12 = 36

LCM(36,501,372) = ( 36 × 501 × 372 ) / 36

LCM(36,501,372) = 6709392 / 36

LCM(36,501,372) = 186372


Lets's calculate GCF of 137,381,574

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186372/1

Therefore the LCM of Fractions 36/137,501/381,372/574 is 186372

Greatest Common Factor of 137,381,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 137,381,574 By Matching Biggest Common Factor Method

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 137,381,574 . The biggest common factor number is the GCF number.
So the greatest common factor 137,381,574 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 36/137, 501/381, 372/574

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 36/137, 501/381, 372/574?

Answer: LCM of Numerators as per given numbers 36/137, 501/381, 372/574 is

LCM of Numerators i.e. for 36,501,372 is 186372

GCF of denominators i.e. for 137,381,574 is 1.

Thus, LCM of Fractions is 186372.Finally, LCM of Fractions for 36/137, 501/381, 372/574 is 186372.