Least Common Multiple of 57/39, 752/51, 596/222

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/39, 752/51, 596/222 quickly i.e. 2128912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/39, 752/51, 596/222 is 2128912.

LCM(57/39, 752/51, 596/222) = 2128912

LCM of 57/39, 752/51, 596/222

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 57/39,752/51,596/222

Given numbers are 57/39,752/51,596/222

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 57,752,596

Least Common Multiple of Numerators i.e. LCM of 57,752,596 is 6386736.

GCF of Denominators means GCF of 39,51,222 as per the given fractions.

GCF of 39,51,222 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,752,596

LCM of Fractions 57/39,752/51,596/222 is 2128912

2 57, 752, 596
2 57, 376, 298
57, 188, 149

∴ So the LCM of the given numbers is 2 x 2 x 57 x 188 x 149 = 6386736

Least Common Multiple of 57,752,596 with GCF Formula

Least Common Multiple of 57,752,596 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 57,752,596 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,752,596) = 1

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

GCF(57,752,596) x common factors =1 x 4 = 4

LCM(57,752,596) = ( 57 × 752 × 596 ) / 4

LCM(57,752,596) = 25546944 / 4

LCM(57,752,596) = 6386736


Lets's calculate GCF of 39,51,222

3 39, 51, 222
13, 17, 74

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6386736/3

Therefore the LCM of Fractions 57/39,752/51,596/222 is 2128912

Greatest Common Factor of 39,51,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,51,222 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 51

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

1,3,17,51

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 39,51,222 . The biggest common factor number is the GCF number.
So the greatest common factor 39,51,222 is 3.


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 57/39, 752/51, 596/222

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 57/39, 752/51, 596/222?

Answer: LCM of Numerators as per given numbers 57/39, 752/51, 596/222 is

LCM of Numerators i.e. for 57,752,596 is 6386736

GCF of denominators i.e. for 39,51,222 is 3.

Thus, LCM of Fractions is 2128912.Finally, LCM of Fractions for 57/39, 752/51, 596/222 is 2128912.