Least Common Multiple of 123/966, 921/389, 924/836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 123/966, 921/389, 924/836 quickly i.e. 11630388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 123/966, 921/389, 924/836 is 11630388.

LCM(123/966, 921/389, 924/836) = 11630388

LCM of 123/966, 921/389, 924/836

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 123/966,921/389,924/836

Given numbers are 123/966,921/389,924/836

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 123,921,924

Least Common Multiple of Numerators i.e. LCM of 123,921,924 is 11630388.

GCF of Denominators means GCF of 966,389,836 as per the given fractions.

GCF of 966,389,836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 123,921,924

LCM of Fractions 123/966,921/389,924/836 is 11630388

3 123, 921, 924
41, 307, 308

∴ So the LCM of the given numbers is 3 x 41 x 307 x 308 = 11630388

Least Common Multiple of 123,921,924 with GCF Formula

Least Common Multiple of 123,921,924 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 123,921,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(123,921,924) = 3

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

GCF(123,921,924) x common factors =3 x 3 = 9

LCM(123,921,924) = ( 123 × 921 × 924 ) / 9

LCM(123,921,924) = 104673492 / 9

LCM(123,921,924) = 11630388


Lets's calculate GCF of 966,389,836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11630388/1

Therefore the LCM of Fractions 123/966,921/389,924/836 is 11630388

Greatest Common Factor of 966,389,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,389,836 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 966,389,836 . The biggest common factor number is the GCF number.
So the greatest common factor 966,389,836 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 123/966, 921/389, 924/836

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 123/966, 921/389, 924/836?

Answer: LCM of Numerators as per given numbers 123/966, 921/389, 924/836 is

LCM of Numerators i.e. for 123,921,924 is 11630388

GCF of denominators i.e. for 966,389,836 is 1.

Thus, LCM of Fractions is 11630388.Finally, LCM of Fractions for 123/966, 921/389, 924/836 is 11630388.