Least Common Multiple of 72/569, 644/437, 242/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/569, 644/437, 242/857 quickly i.e. 1402632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/569, 644/437, 242/857 is 1402632.

LCM(72/569, 644/437, 242/857) = 1402632

LCM of 72/569, 644/437, 242/857

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 72/569,644/437,242/857

Given numbers are 72/569,644/437,242/857

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 72,644,242

Least Common Multiple of Numerators i.e. LCM of 72,644,242 is 1402632.

GCF of Denominators means GCF of 569,437,857 as per the given fractions.

GCF of 569,437,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,644,242

LCM of Fractions 72/569,644/437,242/857 is 1402632

2 72, 644, 242
2 36, 322, 121
18, 161, 121

∴ So the LCM of the given numbers is 2 x 2 x 18 x 161 x 121 = 1402632

Least Common Multiple of 72,644,242 with GCF Formula

Least Common Multiple of 72,644,242 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 72,644,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,644,242) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(72,644,242) x common factors =2 x 4 = 8

LCM(72,644,242) = ( 72 × 644 × 242 ) / 8

LCM(72,644,242) = 11221056 / 8

LCM(72,644,242) = 1402632


Lets's calculate GCF of 569,437,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1402632/1

Therefore the LCM of Fractions 72/569,644/437,242/857 is 1402632

Greatest Common Factor of 569,437,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 569,437,857 By Matching Biggest Common Factor Method

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 569,437,857 . The biggest common factor number is the GCF number.
So the greatest common factor 569,437,857 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 72/569, 644/437, 242/857

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 72/569, 644/437, 242/857?

Answer: LCM of Numerators as per given numbers 72/569, 644/437, 242/857 is

LCM of Numerators i.e. for 72,644,242 is 1402632

GCF of denominators i.e. for 569,437,857 is 1.

Thus, LCM of Fractions is 1402632.Finally, LCM of Fractions for 72/569, 644/437, 242/857 is 1402632.