Least Common Multiple of 725/84, 306/60, 294/531

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/84, 306/60, 294/531 quickly i.e. 3623550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/84, 306/60, 294/531 is 3623550.

LCM(725/84, 306/60, 294/531) = 3623550

LCM of 725/84, 306/60, 294/531

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 725/84,306/60,294/531

Given numbers are 725/84,306/60,294/531

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 725,306,294

Least Common Multiple of Numerators i.e. LCM of 725,306,294 is 10870650.

GCF of Denominators means GCF of 84,60,531 as per the given fractions.

GCF of 84,60,531 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,306,294

LCM of Fractions 725/84,306/60,294/531 is 3623550

2 725, 306, 294
3 725, 153, 147
725, 51, 49

∴ So the LCM of the given numbers is 2 x 3 x 725 x 51 x 49 = 10870650

Least Common Multiple of 725,306,294 with GCF Formula

Least Common Multiple of 725,306,294 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 725,306,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,306,294) = 1

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

GCF(725,306,294) x common factors =1 x 6 = 6

LCM(725,306,294) = ( 725 × 306 × 294 ) / 6

LCM(725,306,294) = 65223900 / 6

LCM(725,306,294) = 10870650


Lets's calculate GCF of 84,60,531

3 84, 60, 531
28, 20, 177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10870650/3

Therefore the LCM of Fractions 725/84,306/60,294/531 is 3623550

Greatest Common Factor of 84,60,531 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,60,531 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 531

List of positive integer factors of 531 that divides 531 without a remainder.

1,3,9,59,177,531

Greatest Common Factor

We found the factors 84,60,531 . The biggest common factor number is the GCF number.
So the greatest common factor 84,60,531 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 725/84, 306/60, 294/531

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 725/84, 306/60, 294/531?

Answer: LCM of Numerators as per given numbers 725/84, 306/60, 294/531 is

LCM of Numerators i.e. for 725,306,294 is 10870650

GCF of denominators i.e. for 84,60,531 is 3.

Thus, LCM of Fractions is 3623550.Finally, LCM of Fractions for 725/84, 306/60, 294/531 is 3623550.