Least Common Multiple of 242/75, 503/51, 272/857

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 242/75, 503/51, 272/857 quickly i.e. 16554736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 242/75, 503/51, 272/857 is 16554736.

LCM(242/75, 503/51, 272/857) = 16554736

LCM of 242/75, 503/51, 272/857

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 242/75,503/51,272/857

Given numbers are 242/75,503/51,272/857

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 242,503,272

Least Common Multiple of Numerators i.e. LCM of 242,503,272 is 16554736.

GCF of Denominators means GCF of 75,51,857 as per the given fractions.

GCF of 75,51,857 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 242,503,272

LCM of Fractions 242/75,503/51,272/857 is 16554736

2 242, 503, 272
121, 503, 136

∴ So the LCM of the given numbers is 2 x 121 x 503 x 136 = 16554736

Least Common Multiple of 242,503,272 with GCF Formula

Least Common Multiple of 242,503,272 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 242,503,272 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,503,272) = 1

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

GCF(242,503,272) x common factors =1 x 2 = 2

LCM(242,503,272) = ( 242 × 503 × 272 ) / 2

LCM(242,503,272) = 33109472 / 2

LCM(242,503,272) = 16554736


Lets's calculate GCF of 75,51,857

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16554736/1

Therefore the LCM of Fractions 242/75,503/51,272/857 is 16554736

Greatest Common Factor of 75,51,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,51,857 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 75,51,857 . The biggest common factor number is the GCF number.
So the greatest common factor 75,51,857 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 242/75, 503/51, 272/857

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 242/75, 503/51, 272/857?

Answer: LCM of Numerators as per given numbers 242/75, 503/51, 272/857 is

LCM of Numerators i.e. for 242,503,272 is 16554736

GCF of denominators i.e. for 75,51,857 is 1.

Thus, LCM of Fractions is 16554736.Finally, LCM of Fractions for 242/75, 503/51, 272/857 is 16554736.