Least Common Multiple of 782/543, 618/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 782/543, 618/363 quickly i.e. 80546 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 782/543, 618/363 is 80546.

LCM(782/543, 618/363) = 80546

LCM of 782/543, 618/363

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 782/543,618/363

Given numbers are 782/543,618/363

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 782,618

Least Common Multiple of Numerators i.e. LCM of 782,618 is 241638.

GCF of Denominators means GCF of 543,363 as per the given fractions.

GCF of 543,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 782,618

LCM of Fractions 782/543,618/363 is 80546

2 782, 618
391, 309

∴ So the LCM of the given numbers is 2 x 391 x 309 = 241638

Least Common Multiple of 782,618 with GCF Formula

Least Common Multiple of 782,618 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 782,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(782,618) = 2

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

GCF(782,618) x common factors =2 x 1 = 2

LCM(782,618) = ( 782 × 618 ) / 2

LCM(782,618) = 483276 / 2

LCM(782,618) = 241638


Lets's calculate GCF of 543,363

3 543, 363
181, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241638/3

Therefore the LCM of Fractions 782/543,618/363 is 80546

Greatest Common Factor of 543,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 543,363 By Matching Biggest Common Factor Method

Factors of 543

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

1,3,181,543

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 543,363 . The biggest common factor number is the GCF number.
So the greatest common factor 543,363 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 782/543, 618/363

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 782/543, 618/363?

Answer: LCM of Numerators as per given numbers 782/543, 618/363 is

LCM of Numerators i.e. for 782,618 is 241638

GCF of denominators i.e. for 543,363 is 3.

Thus, LCM of Fractions is 80546.Finally, LCM of Fractions for 782/543, 618/363 is 80546.