Least Common Multiple of 999/213, 924/634, 874/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 999/213, 924/634, 874/768 quickly i.e. 134461404 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 999/213, 924/634, 874/768 is 134461404.

LCM(999/213, 924/634, 874/768) = 134461404

LCM of 999/213, 924/634, 874/768

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 999/213,924/634,874/768

Given numbers are 999/213,924/634,874/768

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 999,924,874

Least Common Multiple of Numerators i.e. LCM of 999,924,874 is 134461404.

GCF of Denominators means GCF of 213,634,768 as per the given fractions.

GCF of 213,634,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 999,924,874

LCM of Fractions 999/213,924/634,874/768 is 134461404

2 999, 924, 874
3 999, 462, 437
333, 154, 437

∴ So the LCM of the given numbers is 2 x 3 x 333 x 154 x 437 = 134461404

Least Common Multiple of 999,924,874 with GCF Formula

Least Common Multiple of 999,924,874 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 999,924,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(999,924,874) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(999,924,874) x common factors =1 x 6 = 6

LCM(999,924,874) = ( 999 × 924 × 874 ) / 6

LCM(999,924,874) = 806768424 / 6

LCM(999,924,874) = 134461404


Lets's calculate GCF of 213,634,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 134461404/1

Therefore the LCM of Fractions 999/213,924/634,874/768 is 134461404

Greatest Common Factor of 213,634,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 213,634,768 By Matching Biggest Common Factor Method

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 213,634,768 . The biggest common factor number is the GCF number.
So the greatest common factor 213,634,768 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 999/213, 924/634, 874/768

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 999/213, 924/634, 874/768?

Answer: LCM of Numerators as per given numbers 999/213, 924/634, 874/768 is

LCM of Numerators i.e. for 999,924,874 is 134461404

GCF of denominators i.e. for 213,634,768 is 1.

Thus, LCM of Fractions is 134461404.Finally, LCM of Fractions for 999/213, 924/634, 874/768 is 134461404.