Least Common Multiple of 40/57, 387/93, 983/894

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/57, 387/93, 983/894 quickly i.e. 5072280 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, 387/93, 983/894 is 5072280.

LCM(40/57, 387/93, 983/894) = 5072280

LCM of 40/57, 387/93, 983/894

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 40/57,387/93,983/894

Given numbers are 40/57,387/93,983/894

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 40,387,983

Least Common Multiple of Numerators i.e. LCM of 40,387,983 is 15216840.

GCF of Denominators means GCF of 57,93,894 as per the given fractions.

GCF of 57,93,894 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,387,983

LCM of Fractions 40/57,387/93,983/894 is 5072280

Given numbers has no common factors except 1. So, there LCM is their product i.e 15216840

Least Common Multiple of 40,387,983 with GCF Formula

Least Common Multiple of 40,387,983 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 40,387,983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,387,983) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(40,387,983) x common factors =1 x 1 = 1

LCM(40,387,983) = ( 40 × 387 × 983 ) / 1

LCM(40,387,983) = 15216840 / 1

LCM(40,387,983) = 15216840


Lets's calculate GCF of 57,93,894

3 57, 93, 894
19, 31, 298

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15216840/3

Therefore the LCM of Fractions 40/57,387/93,983/894 is 5072280

Greatest Common Factor of 57,93,894 By Matching Biggest Common Factor Method

Greatest Common Factor of 57,93,894 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 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Greatest Common Factor

We found the factors 57,93,894 . The biggest common factor number is the GCF number.
So the greatest common factor 57,93,894 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 40/57, 387/93, 983/894

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, 387/93, 983/894?

Answer: LCM of Numerators as per given numbers 40/57, 387/93, 983/894 is

LCM of Numerators i.e. for 40,387,983 is 15216840

GCF of denominators i.e. for 57,93,894 is 3.

Thus, LCM of Fractions is 5072280.Finally, LCM of Fractions for 40/57, 387/93, 983/894 is 5072280.