Least Common Multiple of 78/72, 309/90, 204/862

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/72, 309/90, 204/862 quickly i.e. 136578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/72, 309/90, 204/862 is 136578.

LCM(78/72, 309/90, 204/862) = 136578

LCM of 78/72, 309/90, 204/862

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 78/72,309/90,204/862

Given numbers are 78/72,309/90,204/862

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 78,309,204

Least Common Multiple of Numerators i.e. LCM of 78,309,204 is 273156.

GCF of Denominators means GCF of 72,90,862 as per the given fractions.

GCF of 72,90,862 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,309,204

LCM of Fractions 78/72,309/90,204/862 is 136578

2 78, 309, 204
3 39, 309, 102
13, 103, 34

∴ So the LCM of the given numbers is 2 x 3 x 13 x 103 x 34 = 273156

Least Common Multiple of 78,309,204 with GCF Formula

Least Common Multiple of 78,309,204 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 78,309,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,309,204) = 3

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

GCF(78,309,204) x common factors =3 x 6 = 18

LCM(78,309,204) = ( 78 × 309 × 204 ) / 18

LCM(78,309,204) = 4916808 / 18

LCM(78,309,204) = 273156


Lets's calculate GCF of 72,90,862

2 72, 90, 862
36, 45, 431

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273156/2

Therefore the LCM of Fractions 78/72,309/90,204/862 is 136578

Greatest Common Factor of 72,90,862 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,90,862 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Greatest Common Factor

We found the factors 72,90,862 . The biggest common factor number is the GCF number.
So the greatest common factor 72,90,862 is 2.


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 78/72, 309/90, 204/862

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 78/72, 309/90, 204/862?

Answer: LCM of Numerators as per given numbers 78/72, 309/90, 204/862 is

LCM of Numerators i.e. for 78,309,204 is 273156

GCF of denominators i.e. for 72,90,862 is 2.

Thus, LCM of Fractions is 136578.Finally, LCM of Fractions for 78/72, 309/90, 204/862 is 136578.