Least Common Multiple of 37/12, 57/34, 57/57, 78/242

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 37/12, 57/34, 57/57, 78/242 quickly i.e. 54834 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 37/12, 57/34, 57/57, 78/242 is 54834.

LCM(37/12, 57/34, 57/57, 78/242) = 54834

LCM of 37/12, 57/34, 57/57, 78/242

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 37/12,57/34,57/57,78/242

Given numbers are 37/12,57/34,57/57,78/242

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 37,57,57,78

Least Common Multiple of Numerators i.e. LCM of 37,57,57,78 is 54834.

GCF of Denominators means GCF of 12,34,57,242 as per the given fractions.

GCF of 12,34,57,242 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 37,57,57,78

LCM of Fractions 37/12,57/34,57/57,78/242 is 54834

3 37, 57, 57, 78
19 37, 19, 19, 26
37, 1, 1, 26

∴ So the LCM of the given numbers is 3 x 19 x 37 x 1 x 1 x 26 = 54834

Least Common Multiple of 37,57,57,78 with GCF Formula

Least Common Multiple of 37,57,57,78 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 37,57,57,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,57,57,78) = 1

common factors(in case of two or more numbers have common factors) = 171

GCF(37,57,57,78) x common factors =1 x 171 = 171

LCM(37,57,57,78) = ( 37 × 57 × 57 × 78 ) / 171

LCM(37,57,57,78) = 9376614 / 171

LCM(37,57,57,78) = 54834


Lets's calculate GCF of 12,34,57,242

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54834/1

Therefore the LCM of Fractions 37/12,57/34,57/57,78/242 is 54834

Greatest Common Factor of 12,34,57,242 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,34,57,242 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Greatest Common Factor

We found the factors 12,34,57,242 . The biggest common factor number is the GCF number.
So the greatest common factor 12,34,57,242 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 37/12, 57/34, 57/57, 78/242

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 37/12, 57/34, 57/57, 78/242?

Answer: LCM of Numerators as per given numbers 37/12, 57/34, 57/57, 78/242 is

LCM of Numerators i.e. for 37,57,57,78 is 54834

GCF of denominators i.e. for 12,34,57,242 is 1.

Thus, LCM of Fractions is 54834.Finally, LCM of Fractions for 37/12, 57/34, 57/57, 78/242 is 54834.