Least Common Multiple of 555/642, 3678/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 555/642, 3678/872 quickly i.e. 340215 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 555/642, 3678/872 is 340215.

LCM(555/642, 3678/872) = 340215

LCM of 555/642, 3678/872

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 555/642,3678/872

Given numbers are 555/642,3678/872

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 555,3678

Least Common Multiple of Numerators i.e. LCM of 555,3678 is 680430.

GCF of Denominators means GCF of 642,872 as per the given fractions.

GCF of 642,872 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 555,3678

LCM of Fractions 555/642,3678/872 is 340215

3 555, 3678
185, 1226

∴ So the LCM of the given numbers is 3 x 185 x 1226 = 680430

Least Common Multiple of 555,3678 with GCF Formula

Least Common Multiple of 555,3678 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 555,3678 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(555,3678) = 3

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

GCF(555,3678) x common factors =3 x 1 = 3

LCM(555,3678) = ( 555 × 3678 ) / 3

LCM(555,3678) = 2041290 / 3

LCM(555,3678) = 680430


Lets's calculate GCF of 642,872

2 642, 872
321, 436

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 680430/2

Therefore the LCM of Fractions 555/642,3678/872 is 340215

Greatest Common Factor of 642,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 642,872 By Matching Biggest Common Factor Method

Factors of 642

List of positive integer factors of 642 that divides 642 without a remainder.

1,2,3,6,107,214,321,642

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 642,872 . The biggest common factor number is the GCF number.
So the greatest common factor 642,872 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 555/642, 3678/872

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 555/642, 3678/872?

Answer: LCM of Numerators as per given numbers 555/642, 3678/872 is

LCM of Numerators i.e. for 555,3678 is 680430

GCF of denominators i.e. for 642,872 is 2.

Thus, LCM of Fractions is 340215.Finally, LCM of Fractions for 555/642, 3678/872 is 340215.