Least Common Multiple of 578/21, 724/85, 538/537

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 578/21, 724/85, 538/537 quickly i.e. 56284484 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 578/21, 724/85, 538/537 is 56284484.

LCM(578/21, 724/85, 538/537) = 56284484

LCM of 578/21, 724/85, 538/537

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 578/21,724/85,538/537

Given numbers are 578/21,724/85,538/537

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 578,724,538

Least Common Multiple of Numerators i.e. LCM of 578,724,538 is 56284484.

GCF of Denominators means GCF of 21,85,537 as per the given fractions.

GCF of 21,85,537 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 578,724,538

LCM of Fractions 578/21,724/85,538/537 is 56284484

2 578, 724, 538
289, 362, 269

∴ So the LCM of the given numbers is 2 x 289 x 362 x 269 = 56284484

Least Common Multiple of 578,724,538 with GCF Formula

Least Common Multiple of 578,724,538 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 578,724,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(578,724,538) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(578,724,538) x common factors =2 x 2 = 4

LCM(578,724,538) = ( 578 × 724 × 538 ) / 4

LCM(578,724,538) = 225137936 / 4

LCM(578,724,538) = 56284484


Lets's calculate GCF of 21,85,537

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56284484/1

Therefore the LCM of Fractions 578/21,724/85,538/537 is 56284484

Greatest Common Factor of 21,85,537 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,85,537 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 537

List of positive integer factors of 537 that divides 537 without a remainder.

1,3,179,537

Greatest Common Factor

We found the factors 21,85,537 . The biggest common factor number is the GCF number.
So the greatest common factor 21,85,537 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 578/21, 724/85, 538/537

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 578/21, 724/85, 538/537?

Answer: LCM of Numerators as per given numbers 578/21, 724/85, 538/537 is

LCM of Numerators i.e. for 578,724,538 is 56284484

GCF of denominators i.e. for 21,85,537 is 1.

Thus, LCM of Fractions is 56284484.Finally, LCM of Fractions for 578/21, 724/85, 538/537 is 56284484.