Least Common Multiple of 57/418, 855/404, 410/152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/418, 855/404, 410/152 quickly i.e. 35055 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/418, 855/404, 410/152 is 35055.

LCM(57/418, 855/404, 410/152) = 35055

LCM of 57/418, 855/404, 410/152

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 57/418,855/404,410/152

Given numbers are 57/418,855/404,410/152

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 57,855,410

Least Common Multiple of Numerators i.e. LCM of 57,855,410 is 70110.

GCF of Denominators means GCF of 418,404,152 as per the given fractions.

GCF of 418,404,152 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,855,410

LCM of Fractions 57/418,855/404,410/152 is 35055

3 57, 855, 410
5 19, 285, 410
19 19, 57, 82
1, 3, 82

∴ So the LCM of the given numbers is 3 x 5 x 19 x 1 x 3 x 82 = 70110

Least Common Multiple of 57,855,410 with GCF Formula

Least Common Multiple of 57,855,410 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 57,855,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,855,410) = 1

common factors(in case of two or more numbers have common factors) = 285

GCF(57,855,410) x common factors =1 x 285 = 285

LCM(57,855,410) = ( 57 × 855 × 410 ) / 285

LCM(57,855,410) = 19981350 / 285

LCM(57,855,410) = 70110


Lets's calculate GCF of 418,404,152

2 418, 404, 152
209, 202, 76

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 70110/2

Therefore the LCM of Fractions 57/418,855/404,410/152 is 35055

Greatest Common Factor of 418,404,152 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,404,152 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 404

List of positive integer factors of 404 that divides 404 without a remainder.

1,2,4,101,202,404

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Greatest Common Factor

We found the factors 418,404,152 . The biggest common factor number is the GCF number.
So the greatest common factor 418,404,152 is 2.


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 57/418, 855/404, 410/152

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 57/418, 855/404, 410/152?

Answer: LCM of Numerators as per given numbers 57/418, 855/404, 410/152 is

LCM of Numerators i.e. for 57,855,410 is 70110

GCF of denominators i.e. for 418,404,152 is 2.

Thus, LCM of Fractions is 35055.Finally, LCM of Fractions for 57/418, 855/404, 410/152 is 35055.