Least Common Multiple of 79/324, 19/159, 108/796

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/324, 19/159, 108/796 quickly i.e. 162108 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/324, 19/159, 108/796 is 162108.

LCM(79/324, 19/159, 108/796) = 162108

LCM of 79/324, 19/159, 108/796

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 79/324,19/159,108/796

Given numbers are 79/324,19/159,108/796

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 79,19,108

Least Common Multiple of Numerators i.e. LCM of 79,19,108 is 162108.

GCF of Denominators means GCF of 324,159,796 as per the given fractions.

GCF of 324,159,796 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,19,108

LCM of Fractions 79/324,19/159,108/796 is 162108

Given numbers has no common factors except 1. So, there LCM is their product i.e 162108

Least Common Multiple of 79,19,108 with GCF Formula

Least Common Multiple of 79,19,108 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 79,19,108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,19,108) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,19,108) x common factors =1 x 1 = 1

LCM(79,19,108) = ( 79 × 19 × 108 ) / 1

LCM(79,19,108) = 162108 / 1

LCM(79,19,108) = 162108


Lets's calculate GCF of 324,159,796

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162108/1

Therefore the LCM of Fractions 79/324,19/159,108/796 is 162108

Greatest Common Factor of 324,159,796 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,159,796 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Greatest Common Factor

We found the factors 324,159,796 . The biggest common factor number is the GCF number.
So the greatest common factor 324,159,796 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 79/324, 19/159, 108/796

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 79/324, 19/159, 108/796?

Answer: LCM of Numerators as per given numbers 79/324, 19/159, 108/796 is

LCM of Numerators i.e. for 79,19,108 is 162108

GCF of denominators i.e. for 324,159,796 is 1.

Thus, LCM of Fractions is 162108.Finally, LCM of Fractions for 79/324, 19/159, 108/796 is 162108.