Least Common Multiple of 642/441, 373/183, 212/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 642/441, 373/183, 212/993 quickly i.e. 8461132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 642/441, 373/183, 212/993 is 8461132.

LCM(642/441, 373/183, 212/993) = 8461132

LCM of 642/441, 373/183, 212/993

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 642/441,373/183,212/993

Given numbers are 642/441,373/183,212/993

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 642,373,212

Least Common Multiple of Numerators i.e. LCM of 642,373,212 is 25383396.

GCF of Denominators means GCF of 441,183,993 as per the given fractions.

GCF of 441,183,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 642,373,212

LCM of Fractions 642/441,373/183,212/993 is 8461132

2 642, 373, 212
321, 373, 106

∴ So the LCM of the given numbers is 2 x 321 x 373 x 106 = 25383396

Least Common Multiple of 642,373,212 with GCF Formula

Least Common Multiple of 642,373,212 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 642,373,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(642,373,212) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(642,373,212) x common factors =1 x 2 = 2

LCM(642,373,212) = ( 642 × 373 × 212 ) / 2

LCM(642,373,212) = 50766792 / 2

LCM(642,373,212) = 25383396


Lets's calculate GCF of 441,183,993

3 441, 183, 993
147, 61, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25383396/3

Therefore the LCM of Fractions 642/441,373/183,212/993 is 8461132

Greatest Common Factor of 441,183,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 441,183,993 By Matching Biggest Common Factor Method

Factors of 441

List of positive integer factors of 441 that divides 441 without a remainder.

1,3,7,9,21,49,63,147,441

Factors of 183

List of positive integer factors of 183 that divides 183 without a remainder.

1,3,61,183

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 441,183,993 . The biggest common factor number is the GCF number.
So the greatest common factor 441,183,993 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 642/441, 373/183, 212/993

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 642/441, 373/183, 212/993?

Answer: LCM of Numerators as per given numbers 642/441, 373/183, 212/993 is

LCM of Numerators i.e. for 642,373,212 is 25383396

GCF of denominators i.e. for 441,183,993 is 3.

Thus, LCM of Fractions is 8461132.Finally, LCM of Fractions for 642/441, 373/183, 212/993 is 8461132.