Least Common Multiple of 79/868, 237/208, 395/902

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/868, 237/208, 395/902 quickly i.e. 1185/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/868, 237/208, 395/902 is 1185/2.

LCM(79/868, 237/208, 395/902) = 1185/2

LCM of 79/868, 237/208, 395/902

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 79/868,237/208,395/902

Given numbers are 79/868,237/208,395/902

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 79,237,395

Least Common Multiple of Numerators i.e. LCM of 79,237,395 is 1185.

GCF of Denominators means GCF of 868,208,902 as per the given fractions.

GCF of 868,208,902 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,237,395

LCM of Fractions 79/868,237/208,395/902 is 1185/2

79 79, 237, 395
1, 3, 5

∴ So the LCM of the given numbers is 79 x 1 x 3 x 5 = 1185

Least Common Multiple of 79,237,395 with GCF Formula

Least Common Multiple of 79,237,395 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 79,237,395 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,237,395) = 79

common factors(in case of two or more numbers have common factors) = 79

GCF(79,237,395) x common factors =79 x 79 = 6241

LCM(79,237,395) = ( 79 × 237 × 395 ) / 6241

LCM(79,237,395) = 7395585 / 6241

LCM(79,237,395) = 1185


Lets's calculate GCF of 868,208,902

2 868, 208, 902
434, 104, 451

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1185/2

Therefore the LCM of Fractions 79/868,237/208,395/902 is 1185/2

Greatest Common Factor of 868,208,902 By Matching Biggest Common Factor Method

Greatest Common Factor of 868,208,902 By Matching Biggest Common Factor Method

Factors of 868

List of positive integer factors of 868 that divides 868 without a remainder.

1,2,4,7,14,28,31,62,124,217,434,868

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 902

List of positive integer factors of 902 that divides 902 without a remainder.

1,2,11,22,41,82,451,902

Greatest Common Factor

We found the factors 868,208,902 . The biggest common factor number is the GCF number.
So the greatest common factor 868,208,902 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 79/868, 237/208, 395/902

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 79/868, 237/208, 395/902?

Answer: LCM of Numerators as per given numbers 79/868, 237/208, 395/902 is

LCM of Numerators i.e. for 79,237,395 is 1185

GCF of denominators i.e. for 868,208,902 is 2.

Thus, LCM of Fractions is 1185/2.Finally, LCM of Fractions for 79/868, 237/208, 395/902 is 1185/2.