Least Common Multiple of 115/279, 406/378, 788/212

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/279, 406/378, 788/212 quickly i.e. 18395860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/279, 406/378, 788/212 is 18395860.

LCM(115/279, 406/378, 788/212) = 18395860

LCM of 115/279, 406/378, 788/212

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 115/279,406/378,788/212

Given numbers are 115/279,406/378,788/212

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 115,406,788

Least Common Multiple of Numerators i.e. LCM of 115,406,788 is 18395860.

GCF of Denominators means GCF of 279,378,212 as per the given fractions.

GCF of 279,378,212 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,406,788

LCM of Fractions 115/279,406/378,788/212 is 18395860

2 115, 406, 788
115, 203, 394

∴ So the LCM of the given numbers is 2 x 115 x 203 x 394 = 18395860

Least Common Multiple of 115,406,788 with GCF Formula

Least Common Multiple of 115,406,788 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 115,406,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,406,788) = 1

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

GCF(115,406,788) x common factors =1 x 2 = 2

LCM(115,406,788) = ( 115 × 406 × 788 ) / 2

LCM(115,406,788) = 36791720 / 2

LCM(115,406,788) = 18395860


Lets's calculate GCF of 279,378,212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18395860/1

Therefore the LCM of Fractions 115/279,406/378,788/212 is 18395860

Greatest Common Factor of 279,378,212 By Matching Biggest Common Factor Method

Greatest Common Factor of 279,378,212 By Matching Biggest Common Factor Method

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Greatest Common Factor

We found the factors 279,378,212 . The biggest common factor number is the GCF number.
So the greatest common factor 279,378,212 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 115/279, 406/378, 788/212

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 115/279, 406/378, 788/212?

Answer: LCM of Numerators as per given numbers 115/279, 406/378, 788/212 is

LCM of Numerators i.e. for 115,406,788 is 18395860

GCF of denominators i.e. for 279,378,212 is 1.

Thus, LCM of Fractions is 18395860.Finally, LCM of Fractions for 115/279, 406/378, 788/212 is 18395860.