Least Common Multiple of 543/638, 2652/994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 543/638, 2652/994 quickly i.e. 240006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 543/638, 2652/994 is 240006.

LCM(543/638, 2652/994) = 240006

LCM of 543/638, 2652/994

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 543/638,2652/994

Given numbers are 543/638,2652/994

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 543,2652

Least Common Multiple of Numerators i.e. LCM of 543,2652 is 480012.

GCF of Denominators means GCF of 638,994 as per the given fractions.

GCF of 638,994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 543,2652

LCM of Fractions 543/638,2652/994 is 240006

3 543, 2652
181, 884

∴ So the LCM of the given numbers is 3 x 181 x 884 = 480012

Least Common Multiple of 543,2652 with GCF Formula

Least Common Multiple of 543,2652 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 543,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(543,2652) = 3

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

GCF(543,2652) x common factors =3 x 1 = 3

LCM(543,2652) = ( 543 × 2652 ) / 3

LCM(543,2652) = 1440036 / 3

LCM(543,2652) = 480012


Lets's calculate GCF of 638,994

2 638, 994
319, 497

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 480012/2

Therefore the LCM of Fractions 543/638,2652/994 is 240006

Greatest Common Factor of 638,994 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,994 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 994

List of positive integer factors of 994 that divides 994 without a remainder.

1,2,7,14,71,142,497,994

Greatest Common Factor

We found the factors 638,994 . The biggest common factor number is the GCF number.
So the greatest common factor 638,994 is 2.


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 543/638, 2652/994

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 543/638, 2652/994?

Answer: LCM of Numerators as per given numbers 543/638, 2652/994 is

LCM of Numerators i.e. for 543,2652 is 480012

GCF of denominators i.e. for 638,994 is 2.

Thus, LCM of Fractions is 240006.Finally, LCM of Fractions for 543/638, 2652/994 is 240006.