Least Common Multiple of 726/722, 384/572, 317/932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/722, 384/572, 317/932 quickly i.e. 7364544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/722, 384/572, 317/932 is 7364544.

LCM(726/722, 384/572, 317/932) = 7364544

LCM of 726/722, 384/572, 317/932

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 726/722,384/572,317/932

Given numbers are 726/722,384/572,317/932

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 726,384,317

Least Common Multiple of Numerators i.e. LCM of 726,384,317 is 14729088.

GCF of Denominators means GCF of 722,572,932 as per the given fractions.

GCF of 722,572,932 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,384,317

LCM of Fractions 726/722,384/572,317/932 is 7364544

2 726, 384, 317
3 363, 192, 317
121, 64, 317

∴ So the LCM of the given numbers is 2 x 3 x 121 x 64 x 317 = 14729088

Least Common Multiple of 726,384,317 with GCF Formula

Least Common Multiple of 726,384,317 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 726,384,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,384,317) = 1

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

GCF(726,384,317) x common factors =1 x 6 = 6

LCM(726,384,317) = ( 726 × 384 × 317 ) / 6

LCM(726,384,317) = 88374528 / 6

LCM(726,384,317) = 14729088


Lets's calculate GCF of 722,572,932

2 722, 572, 932
361, 286, 466

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14729088/2

Therefore the LCM of Fractions 726/722,384/572,317/932 is 7364544

Greatest Common Factor of 722,572,932 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,572,932 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Factors of 932

List of positive integer factors of 932 that divides 932 without a remainder.

1,2,4,233,466,932

Greatest Common Factor

We found the factors 722,572,932 . The biggest common factor number is the GCF number.
So the greatest common factor 722,572,932 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 726/722, 384/572, 317/932

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 726/722, 384/572, 317/932?

Answer: LCM of Numerators as per given numbers 726/722, 384/572, 317/932 is

LCM of Numerators i.e. for 726,384,317 is 14729088

GCF of denominators i.e. for 722,572,932 is 2.

Thus, LCM of Fractions is 7364544.Finally, LCM of Fractions for 726/722, 384/572, 317/932 is 7364544.