Least Common Multiple of 56/598, 999/39, 364/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 56/598, 999/39, 364/724 quickly i.e. 727272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 56/598, 999/39, 364/724 is 727272.

LCM(56/598, 999/39, 364/724) = 727272

LCM of 56/598, 999/39, 364/724

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 56/598,999/39,364/724

Given numbers are 56/598,999/39,364/724

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 56,999,364

Least Common Multiple of Numerators i.e. LCM of 56,999,364 is 727272.

GCF of Denominators means GCF of 598,39,724 as per the given fractions.

GCF of 598,39,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 56,999,364

LCM of Fractions 56/598,999/39,364/724 is 727272

2 56, 999, 364
2 28, 999, 182
7 14, 999, 91
2, 999, 13

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 999 x 13 = 727272

Least Common Multiple of 56,999,364 with GCF Formula

Least Common Multiple of 56,999,364 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 56,999,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,999,364) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(56,999,364) x common factors =1 x 28 = 28

LCM(56,999,364) = ( 56 × 999 × 364 ) / 28

LCM(56,999,364) = 20363616 / 28

LCM(56,999,364) = 727272


Lets's calculate GCF of 598,39,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 727272/1

Therefore the LCM of Fractions 56/598,999/39,364/724 is 727272

Greatest Common Factor of 598,39,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,39,724 By Matching Biggest Common Factor Method

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 598,39,724 . The biggest common factor number is the GCF number.
So the greatest common factor 598,39,724 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 56/598, 999/39, 364/724

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 56/598, 999/39, 364/724?

Answer: LCM of Numerators as per given numbers 56/598, 999/39, 364/724 is

LCM of Numerators i.e. for 56,999,364 is 727272

GCF of denominators i.e. for 598,39,724 is 1.

Thus, LCM of Fractions is 727272.Finally, LCM of Fractions for 56/598, 999/39, 364/724 is 727272.