Least Common Multiple of 57/474, 297/252, 936/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/474, 297/252, 936/258 quickly i.e. 97812 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/474, 297/252, 936/258 is 97812.

LCM(57/474, 297/252, 936/258) = 97812

LCM of 57/474, 297/252, 936/258

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 57/474,297/252,936/258

Given numbers are 57/474,297/252,936/258

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 57,297,936

Least Common Multiple of Numerators i.e. LCM of 57,297,936 is 586872.

GCF of Denominators means GCF of 474,252,258 as per the given fractions.

GCF of 474,252,258 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,297,936

LCM of Fractions 57/474,297/252,936/258 is 97812

3 57, 297, 936
3 19, 99, 312
19, 33, 104

∴ So the LCM of the given numbers is 3 x 3 x 19 x 33 x 104 = 586872

Least Common Multiple of 57,297,936 with GCF Formula

Least Common Multiple of 57,297,936 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 57,297,936 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,297,936) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(57,297,936) x common factors =3 x 9 = 27

LCM(57,297,936) = ( 57 × 297 × 936 ) / 27

LCM(57,297,936) = 15845544 / 27

LCM(57,297,936) = 586872


Lets's calculate GCF of 474,252,258

2 474, 252, 258
3 237, 126, 129
79, 42, 43

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 586872/6

Therefore the LCM of Fractions 57/474,297/252,936/258 is 97812

Greatest Common Factor of 474,252,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 474,252,258 By Matching Biggest Common Factor Method

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 474,252,258 . The biggest common factor number is the GCF number.
So the greatest common factor 474,252,258 is 6.


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 57/474, 297/252, 936/258

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 57/474, 297/252, 936/258?

Answer: LCM of Numerators as per given numbers 57/474, 297/252, 936/258 is

LCM of Numerators i.e. for 57,297,936 is 586872

GCF of denominators i.e. for 474,252,258 is 6.

Thus, LCM of Fractions is 97812.Finally, LCM of Fractions for 57/474, 297/252, 936/258 is 97812.