Least Common Multiple of 12/243, 573/912, 867/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/243, 573/912, 867/212 quickly i.e. 662388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/243, 573/912, 867/212 is 662388.

LCM(12/243, 573/912, 867/212) = 662388

LCM of 12/243, 573/912, 867/212

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 12/243,573/912,867/212

Given numbers are 12/243,573/912,867/212

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 12,573,867

Least Common Multiple of Numerators i.e. LCM of 12,573,867 is 662388.

GCF of Denominators means GCF of 243,912,212 as per the given fractions.

GCF of 243,912,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,573,867

LCM of Fractions 12/243,573/912,867/212 is 662388

3 12, 573, 867
4, 191, 289

∴ So the LCM of the given numbers is 3 x 4 x 191 x 289 = 662388

Least Common Multiple of 12,573,867 with GCF Formula

Least Common Multiple of 12,573,867 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 12,573,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,573,867) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(12,573,867) x common factors =3 x 3 = 9

LCM(12,573,867) = ( 12 × 573 × 867 ) / 9

LCM(12,573,867) = 5961492 / 9

LCM(12,573,867) = 662388


Lets's calculate GCF of 243,912,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 662388/1

Therefore the LCM of Fractions 12/243,573/912,867/212 is 662388

Greatest Common Factor of 243,912,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,912,212 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 243,912,212 . The biggest common factor number is the GCF number.
So the greatest common factor 243,912,212 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 12/243, 573/912, 867/212

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 12/243, 573/912, 867/212?

Answer: LCM of Numerators as per given numbers 12/243, 573/912, 867/212 is

LCM of Numerators i.e. for 12,573,867 is 662388

GCF of denominators i.e. for 243,912,212 is 1.

Thus, LCM of Fractions is 662388.Finally, LCM of Fractions for 12/243, 573/912, 867/212 is 662388.