Least Common Multiple of 540/733, 832/620, 518/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 540/733, 832/620, 518/543 quickly i.e. 29090880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 540/733, 832/620, 518/543 is 29090880.

LCM(540/733, 832/620, 518/543) = 29090880

LCM of 540/733, 832/620, 518/543

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 540/733,832/620,518/543

Given numbers are 540/733,832/620,518/543

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 540,832,518

Least Common Multiple of Numerators i.e. LCM of 540,832,518 is 29090880.

GCF of Denominators means GCF of 733,620,543 as per the given fractions.

GCF of 733,620,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 540,832,518

LCM of Fractions 540/733,832/620,518/543 is 29090880

2 540, 832, 518
2 270, 416, 259
135, 208, 259

∴ So the LCM of the given numbers is 2 x 2 x 135 x 208 x 259 = 29090880

Least Common Multiple of 540,832,518 with GCF Formula

Least Common Multiple of 540,832,518 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 540,832,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,832,518) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(540,832,518) x common factors =2 x 4 = 8

LCM(540,832,518) = ( 540 × 832 × 518 ) / 8

LCM(540,832,518) = 232727040 / 8

LCM(540,832,518) = 29090880


Lets's calculate GCF of 733,620,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29090880/1

Therefore the LCM of Fractions 540/733,832/620,518/543 is 29090880

Greatest Common Factor of 733,620,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,620,543 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 620

List of positive integer factors of 620 that divides 620 without a remainder.

1,2,4,5,10,20,31,62,124,155,310,620

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 733,620,543 . The biggest common factor number is the GCF number.
So the greatest common factor 733,620,543 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 540/733, 832/620, 518/543

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 540/733, 832/620, 518/543?

Answer: LCM of Numerators as per given numbers 540/733, 832/620, 518/543 is

LCM of Numerators i.e. for 540,832,518 is 29090880

GCF of denominators i.e. for 733,620,543 is 1.

Thus, LCM of Fractions is 29090880.Finally, LCM of Fractions for 540/733, 832/620, 518/543 is 29090880.