Least Common Multiple of 52/96, 34/45, 21/75, 87/117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 52/96, 34/45, 21/75, 87/117 quickly i.e. 179452 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/96, 34/45, 21/75, 87/117 is 179452.

LCM(52/96, 34/45, 21/75, 87/117) = 179452

LCM of 52/96, 34/45, 21/75, 87/117

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 52/96,34/45,21/75,87/117

Given numbers are 52/96,34/45,21/75,87/117

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 52,34,21,87

Least Common Multiple of Numerators i.e. LCM of 52,34,21,87 is 538356.

GCF of Denominators means GCF of 96,45,75,117 as per the given fractions.

GCF of 96,45,75,117 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,34,21,87

LCM of Fractions 52/96,34/45,21/75,87/117 is 179452

2 52, 34, 21, 87
3 26, 17, 21, 87
26, 17, 7, 29

∴ So the LCM of the given numbers is 2 x 3 x 26 x 17 x 7 x 29 = 538356

Least Common Multiple of 52,34,21,87 with GCF Formula

Least Common Multiple of 52,34,21,87 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 52,34,21,87 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,34,21,87) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(52,34,21,87) x common factors =1 x 6 = 6

LCM(52,34,21,87) = ( 52 × 34 × 21 × 87 ) / 6

LCM(52,34,21,87) = 3230136 / 6

LCM(52,34,21,87) = 538356


Lets's calculate GCF of 96,45,75,117

3 96, 45, 75, 117
32, 15, 25, 39

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 538356/3

Therefore the LCM of Fractions 52/96,34/45,21/75,87/117 is 179452

Greatest Common Factor of 96,45,75,117 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,45,75,117 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 117

List of positive integer factors of 117 that divides 117 without a remainder.

1,3,9,13,39,117

Greatest Common Factor

We found the factors 96,45,75,117 . The biggest common factor number is the GCF number.
So the greatest common factor 96,45,75,117 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 52/96, 34/45, 21/75, 87/117

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 52/96, 34/45, 21/75, 87/117?

Answer: LCM of Numerators as per given numbers 52/96, 34/45, 21/75, 87/117 is

LCM of Numerators i.e. for 52,34,21,87 is 538356

GCF of denominators i.e. for 96,45,75,117 is 3.

Thus, LCM of Fractions is 179452.Finally, LCM of Fractions for 52/96, 34/45, 21/75, 87/117 is 179452.