Least Common Multiple of 737/54, 242/7506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 737/54, 242/7506 quickly i.e. 16214/54 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 737/54, 242/7506 is 16214/54.

LCM(737/54, 242/7506) = 16214/54

LCM of 737/54, 242/7506

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 737/54,242/7506

Given numbers are 737/54,242/7506

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 737,242

Least Common Multiple of Numerators i.e. LCM of 737,242 is 16214.

GCF of Denominators means GCF of 54,7506 as per the given fractions.

GCF of 54,7506 is 54 as it is the largest common factor for these numbers.

Lets's calculate LCM of 737,242

LCM of Fractions 737/54,242/7506 is 16214/54

11 737, 242
67, 22

∴ So the LCM of the given numbers is 11 x 67 x 22 = 16214

Least Common Multiple of 737,242 with GCF Formula

Least Common Multiple of 737,242 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 737,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(737,242) = 11

common factors(in case of two or more numbers have common factors) = 1

GCF(737,242) x common factors =11 x 1 = 11

LCM(737,242) = ( 737 × 242 ) / 11

LCM(737,242) = 178354 / 11

LCM(737,242) = 16214


Lets's calculate GCF of 54,7506

2 54, 7506
3 27, 3753
3 9, 1251
3 3, 417
1, 139

∴ So the GCF of the given numbers is 2 x 3 x 3 x 3 = 54

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16214/54

Therefore the LCM of Fractions 737/54,242/7506 is 16214/54

Greatest Common Factor of 54,7506 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,7506 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 7506

List of positive integer factors of 7506 that divides 7506 without a remainder.

1,2,3,6,9,18,27,54,139,278,417,834,1251,2502,3753,7506

Greatest Common Factor

We found the factors 54,7506 . The biggest common factor number is the GCF number.
So the greatest common factor 54,7506 is 54.


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 737/54, 242/7506

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 737/54, 242/7506?

Answer: LCM of Numerators as per given numbers 737/54, 242/7506 is

LCM of Numerators i.e. for 737,242 is 16214

GCF of denominators i.e. for 54,7506 is 54.

Thus, LCM of Fractions is 16214/54.Finally, LCM of Fractions for 737/54, 242/7506 is 16214/54.