Least Common Multiple of 79/873, 38/825, 664/624

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/873, 38/825, 664/624 quickly i.e. 996664/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/873, 38/825, 664/624 is 996664/3.

LCM(79/873, 38/825, 664/624) = 996664/3

LCM of 79/873, 38/825, 664/624

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 79/873,38/825,664/624

Given numbers are 79/873,38/825,664/624

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 79,38,664

Least Common Multiple of Numerators i.e. LCM of 79,38,664 is 996664.

GCF of Denominators means GCF of 873,825,624 as per the given fractions.

GCF of 873,825,624 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,38,664

LCM of Fractions 79/873,38/825,664/624 is 996664/3

2 79, 38, 664
79, 19, 332

∴ So the LCM of the given numbers is 2 x 79 x 19 x 332 = 996664

Least Common Multiple of 79,38,664 with GCF Formula

Least Common Multiple of 79,38,664 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 79,38,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,38,664) = 1

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

GCF(79,38,664) x common factors =1 x 2 = 2

LCM(79,38,664) = ( 79 × 38 × 664 ) / 2

LCM(79,38,664) = 1993328 / 2

LCM(79,38,664) = 996664


Lets's calculate GCF of 873,825,624

3 873, 825, 624
291, 275, 208

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 996664/3

Therefore the LCM of Fractions 79/873,38/825,664/624 is 996664/3

Greatest Common Factor of 873,825,624 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,825,624 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 624

List of positive integer factors of 624 that divides 624 without a remainder.

1,2,3,4,6,8,12,13,16,24,26,39,48,52,78,104,156,208,312,624

Greatest Common Factor

We found the factors 873,825,624 . The biggest common factor number is the GCF number.
So the greatest common factor 873,825,624 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 79/873, 38/825, 664/624

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 79/873, 38/825, 664/624?

Answer: LCM of Numerators as per given numbers 79/873, 38/825, 664/624 is

LCM of Numerators i.e. for 79,38,664 is 996664

GCF of denominators i.e. for 873,825,624 is 3.

Thus, LCM of Fractions is 996664/3.Finally, LCM of Fractions for 79/873, 38/825, 664/624 is 996664/3.