Least Common Multiple of 53/36, 78/82, 54/89, 72/293

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/36, 78/82, 54/89, 72/293 quickly i.e. 148824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/36, 78/82, 54/89, 72/293 is 148824.

LCM(53/36, 78/82, 54/89, 72/293) = 148824

LCM of 53/36, 78/82, 54/89, 72/293

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 53/36,78/82,54/89,72/293

Given numbers are 53/36,78/82,54/89,72/293

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 53,78,54,72

Least Common Multiple of Numerators i.e. LCM of 53,78,54,72 is 148824.

GCF of Denominators means GCF of 36,82,89,293 as per the given fractions.

GCF of 36,82,89,293 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,78,54,72

LCM of Fractions 53/36,78/82,54/89,72/293 is 148824

2 53, 78, 54, 72
3 53, 39, 27, 36
3 53, 13, 9, 12
53, 13, 3, 4

∴ So the LCM of the given numbers is 2 x 3 x 3 x 53 x 13 x 3 x 4 = 148824

Least Common Multiple of 53,78,54,72 with GCF Formula

Least Common Multiple of 53,78,54,72 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 53,78,54,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,78,54,72) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(53,78,54,72) x common factors =1 x 108 = 108

LCM(53,78,54,72) = ( 53 × 78 × 54 × 72 ) / 108

LCM(53,78,54,72) = 16072992 / 108

LCM(53,78,54,72) = 148824


Lets's calculate GCF of 36,82,89,293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148824/1

Therefore the LCM of Fractions 53/36,78/82,54/89,72/293 is 148824

Greatest Common Factor of 36,82,89,293 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,82,89,293 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Greatest Common Factor

We found the factors 36,82,89,293 . The biggest common factor number is the GCF number.
So the greatest common factor 36,82,89,293 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 53/36, 78/82, 54/89, 72/293

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 53/36, 78/82, 54/89, 72/293?

Answer: LCM of Numerators as per given numbers 53/36, 78/82, 54/89, 72/293 is

LCM of Numerators i.e. for 53,78,54,72 is 148824

GCF of denominators i.e. for 36,82,89,293 is 1.

Thus, LCM of Fractions is 148824.Finally, LCM of Fractions for 53/36, 78/82, 54/89, 72/293 is 148824.