Least Common Multiple of 54/86, 972/72, 724/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/86, 972/72, 724/796 quickly i.e. 87966 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/86, 972/72, 724/796 is 87966.

LCM(54/86, 972/72, 724/796) = 87966

LCM of 54/86, 972/72, 724/796

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 54/86,972/72,724/796

Given numbers are 54/86,972/72,724/796

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 54,972,724

Least Common Multiple of Numerators i.e. LCM of 54,972,724 is 175932.

GCF of Denominators means GCF of 86,72,796 as per the given fractions.

GCF of 86,72,796 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,972,724

LCM of Fractions 54/86,972/72,724/796 is 87966

2 54, 972, 724
2 27, 486, 362
3 27, 243, 181
3 9, 81, 181
3 3, 27, 181
1, 9, 181

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 1 x 9 x 181 = 175932

Least Common Multiple of 54,972,724 with GCF Formula

Least Common Multiple of 54,972,724 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 54,972,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,972,724) = 2

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

GCF(54,972,724) x common factors =2 x 108 = 216

LCM(54,972,724) = ( 54 × 972 × 724 ) / 216

LCM(54,972,724) = 38001312 / 216

LCM(54,972,724) = 175932


Lets's calculate GCF of 86,72,796

2 86, 72, 796
43, 36, 398

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175932/2

Therefore the LCM of Fractions 54/86,972/72,724/796 is 87966

Greatest Common Factor of 86,72,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,72,796 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 86,72,796 . The biggest common factor number is the GCF number.
So the greatest common factor 86,72,796 is 2.


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 54/86, 972/72, 724/796

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 54/86, 972/72, 724/796?

Answer: LCM of Numerators as per given numbers 54/86, 972/72, 724/796 is

LCM of Numerators i.e. for 54,972,724 is 175932

GCF of denominators i.e. for 86,72,796 is 2.

Thus, LCM of Fractions is 87966.Finally, LCM of Fractions for 54/86, 972/72, 724/796 is 87966.