Least Common Multiple of 40/291, 77/661, 518/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/291, 77/661, 518/432 quickly i.e. 113960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/291, 77/661, 518/432 is 113960.

LCM(40/291, 77/661, 518/432) = 113960

LCM of 40/291, 77/661, 518/432

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 40/291,77/661,518/432

Given numbers are 40/291,77/661,518/432

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 40,77,518

Least Common Multiple of Numerators i.e. LCM of 40,77,518 is 113960.

GCF of Denominators means GCF of 291,661,432 as per the given fractions.

GCF of 291,661,432 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,77,518

LCM of Fractions 40/291,77/661,518/432 is 113960

2 40, 77, 518
7 20, 77, 259
20, 11, 37

∴ So the LCM of the given numbers is 2 x 7 x 20 x 11 x 37 = 113960

Least Common Multiple of 40,77,518 with GCF Formula

Least Common Multiple of 40,77,518 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 40,77,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,77,518) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(40,77,518) x common factors =1 x 14 = 14

LCM(40,77,518) = ( 40 × 77 × 518 ) / 14

LCM(40,77,518) = 1595440 / 14

LCM(40,77,518) = 113960


Lets's calculate GCF of 291,661,432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 113960/1

Therefore the LCM of Fractions 40/291,77/661,518/432 is 113960

Greatest Common Factor of 291,661,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 291,661,432 By Matching Biggest Common Factor Method

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 291,661,432 . The biggest common factor number is the GCF number.
So the greatest common factor 291,661,432 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 40/291, 77/661, 518/432

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 40/291, 77/661, 518/432?

Answer: LCM of Numerators as per given numbers 40/291, 77/661, 518/432 is

LCM of Numerators i.e. for 40,77,518 is 113960

GCF of denominators i.e. for 291,661,432 is 1.

Thus, LCM of Fractions is 113960.Finally, LCM of Fractions for 40/291, 77/661, 518/432 is 113960.