Least Common Multiple of 57/15, 418/44, 728/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/15, 418/44, 728/604 quickly i.e. 456456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/15, 418/44, 728/604 is 456456.

LCM(57/15, 418/44, 728/604) = 456456

LCM of 57/15, 418/44, 728/604

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 57/15,418/44,728/604

Given numbers are 57/15,418/44,728/604

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 57,418,728

Least Common Multiple of Numerators i.e. LCM of 57,418,728 is 456456.

GCF of Denominators means GCF of 15,44,604 as per the given fractions.

GCF of 15,44,604 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,418,728

LCM of Fractions 57/15,418/44,728/604 is 456456

2 57, 418, 728
19 57, 209, 364
3, 11, 364

∴ So the LCM of the given numbers is 2 x 19 x 3 x 11 x 364 = 456456

Least Common Multiple of 57,418,728 with GCF Formula

Least Common Multiple of 57,418,728 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 57,418,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,418,728) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(57,418,728) x common factors =1 x 38 = 38

LCM(57,418,728) = ( 57 × 418 × 728 ) / 38

LCM(57,418,728) = 17345328 / 38

LCM(57,418,728) = 456456


Lets's calculate GCF of 15,44,604

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456456/1

Therefore the LCM of Fractions 57/15,418/44,728/604 is 456456

Greatest Common Factor of 15,44,604 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,44,604 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Greatest Common Factor

We found the factors 15,44,604 . The biggest common factor number is the GCF number.
So the greatest common factor 15,44,604 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 57/15, 418/44, 728/604

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 57/15, 418/44, 728/604?

Answer: LCM of Numerators as per given numbers 57/15, 418/44, 728/604 is

LCM of Numerators i.e. for 57,418,728 is 456456

GCF of denominators i.e. for 15,44,604 is 1.

Thus, LCM of Fractions is 456456.Finally, LCM of Fractions for 57/15, 418/44, 728/604 is 456456.