Least Common Multiple of 40/657, 522/385, 990/327

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/657, 522/385, 990/327 quickly i.e. 114840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/657, 522/385, 990/327 is 114840.

LCM(40/657, 522/385, 990/327) = 114840

LCM of 40/657, 522/385, 990/327

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 40/657,522/385,990/327

Given numbers are 40/657,522/385,990/327

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 40,522,990

Least Common Multiple of Numerators i.e. LCM of 40,522,990 is 114840.

GCF of Denominators means GCF of 657,385,327 as per the given fractions.

GCF of 657,385,327 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,522,990

LCM of Fractions 40/657,522/385,990/327 is 114840

2 40, 522, 990
3 20, 261, 495
3 20, 87, 165
5 20, 29, 55
4, 29, 11

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 4 x 29 x 11 = 114840

Least Common Multiple of 40,522,990 with GCF Formula

Least Common Multiple of 40,522,990 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 40,522,990 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,522,990) = 2

common factors(in case of two or more numbers have common factors) = 90

GCF(40,522,990) x common factors =2 x 90 = 180

LCM(40,522,990) = ( 40 × 522 × 990 ) / 180

LCM(40,522,990) = 20671200 / 180

LCM(40,522,990) = 114840


Lets's calculate GCF of 657,385,327

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114840/1

Therefore the LCM of Fractions 40/657,522/385,990/327 is 114840

Greatest Common Factor of 657,385,327 By Matching Biggest Common Factor Method

Greatest Common Factor of 657,385,327 By Matching Biggest Common Factor Method

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Greatest Common Factor

We found the factors 657,385,327 . The biggest common factor number is the GCF number.
So the greatest common factor 657,385,327 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 40/657, 522/385, 990/327

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 40/657, 522/385, 990/327?

Answer: LCM of Numerators as per given numbers 40/657, 522/385, 990/327 is

LCM of Numerators i.e. for 40,522,990 is 114840

GCF of denominators i.e. for 657,385,327 is 1.

Thus, LCM of Fractions is 114840.Finally, LCM of Fractions for 40/657, 522/385, 990/327 is 114840.