Least Common Multiple of 40/57, 387/76, 285/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/57, 387/76, 285/304 quickly i.e. 15480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/57, 387/76, 285/304 is 15480.

LCM(40/57, 387/76, 285/304) = 15480

LCM of 40/57, 387/76, 285/304

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 40/57,387/76,285/304

Given numbers are 40/57,387/76,285/304

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 40,387,285

Least Common Multiple of Numerators i.e. LCM of 40,387,285 is 294120.

GCF of Denominators means GCF of 57,76,304 as per the given fractions.

GCF of 57,76,304 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,387,285

LCM of Fractions 40/57,387/76,285/304 is 15480

3 40, 387, 285
5 40, 129, 95
8, 129, 19

∴ So the LCM of the given numbers is 3 x 5 x 8 x 129 x 19 = 294120

Least Common Multiple of 40,387,285 with GCF Formula

Least Common Multiple of 40,387,285 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 40,387,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,387,285) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(40,387,285) x common factors =1 x 15 = 15

LCM(40,387,285) = ( 40 × 387 × 285 ) / 15

LCM(40,387,285) = 4411800 / 15

LCM(40,387,285) = 294120


Lets's calculate GCF of 57,76,304

19 57, 76, 304
3, 4, 16

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 294120/19

Therefore the LCM of Fractions 40/57,387/76,285/304 is 15480

Greatest Common Factor of 57,76,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,76,304 By Matching Biggest Common Factor Method

Factors of 57

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

1,3,19,57

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 57,76,304 . The biggest common factor number is the GCF number.
So the greatest common factor 57,76,304 is 19.


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 40/57, 387/76, 285/304

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 40/57, 387/76, 285/304?

Answer: LCM of Numerators as per given numbers 40/57, 387/76, 285/304 is

LCM of Numerators i.e. for 40,387,285 is 294120

GCF of denominators i.e. for 57,76,304 is 19.

Thus, LCM of Fractions is 15480.Finally, LCM of Fractions for 40/57, 387/76, 285/304 is 15480.