Least Common Multiple of 36/375, 95/519, 872/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 36/375, 95/519, 872/156 quickly i.e. 248520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 36/375, 95/519, 872/156 is 248520.

LCM(36/375, 95/519, 872/156) = 248520

LCM of 36/375, 95/519, 872/156

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 36/375,95/519,872/156

Given numbers are 36/375,95/519,872/156

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 36,95,872

Least Common Multiple of Numerators i.e. LCM of 36,95,872 is 745560.

GCF of Denominators means GCF of 375,519,156 as per the given fractions.

GCF of 375,519,156 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 36,95,872

LCM of Fractions 36/375,95/519,872/156 is 248520

2 36, 95, 872
2 18, 95, 436
9, 95, 218

∴ So the LCM of the given numbers is 2 x 2 x 9 x 95 x 218 = 745560

Least Common Multiple of 36,95,872 with GCF Formula

Least Common Multiple of 36,95,872 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 36,95,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,95,872) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(36,95,872) x common factors =1 x 4 = 4

LCM(36,95,872) = ( 36 × 95 × 872 ) / 4

LCM(36,95,872) = 2982240 / 4

LCM(36,95,872) = 745560


Lets's calculate GCF of 375,519,156

3 375, 519, 156
125, 173, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 745560/3

Therefore the LCM of Fractions 36/375,95/519,872/156 is 248520

Greatest Common Factor of 375,519,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,519,156 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 375,519,156 . The biggest common factor number is the GCF number.
So the greatest common factor 375,519,156 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 36/375, 95/519, 872/156

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 36/375, 95/519, 872/156?

Answer: LCM of Numerators as per given numbers 36/375, 95/519, 872/156 is

LCM of Numerators i.e. for 36,95,872 is 745560

GCF of denominators i.e. for 375,519,156 is 3.

Thus, LCM of Fractions is 248520.Finally, LCM of Fractions for 36/375, 95/519, 872/156 is 248520.