Least Common Multiple of 78/18, 27/59, 79/955

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 78/18, 27/59, 79/955 quickly i.e. 55458 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 78/18, 27/59, 79/955 is 55458.

LCM(78/18, 27/59, 79/955) = 55458

LCM of 78/18, 27/59, 79/955

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 78/18,27/59,79/955

Given numbers are 78/18,27/59,79/955

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 78,27,79

Least Common Multiple of Numerators i.e. LCM of 78,27,79 is 55458.

GCF of Denominators means GCF of 18,59,955 as per the given fractions.

GCF of 18,59,955 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 78,27,79

LCM of Fractions 78/18,27/59,79/955 is 55458

3 78, 27, 79
26, 9, 79

∴ So the LCM of the given numbers is 3 x 26 x 9 x 79 = 55458

Least Common Multiple of 78,27,79 with GCF Formula

Least Common Multiple of 78,27,79 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 78,27,79 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,27,79) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(78,27,79) x common factors =1 x 3 = 3

LCM(78,27,79) = ( 78 × 27 × 79 ) / 3

LCM(78,27,79) = 166374 / 3

LCM(78,27,79) = 55458


Lets's calculate GCF of 18,59,955

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55458/1

Therefore the LCM of Fractions 78/18,27/59,79/955 is 55458

Greatest Common Factor of 18,59,955 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,59,955 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 955

List of positive integer factors of 955 that divides 955 without a remainder.

1,5,191,955

Greatest Common Factor

We found the factors 18,59,955 . The biggest common factor number is the GCF number.
So the greatest common factor 18,59,955 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 78/18, 27/59, 79/955

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 78/18, 27/59, 79/955?

Answer: LCM of Numerators as per given numbers 78/18, 27/59, 79/955 is

LCM of Numerators i.e. for 78,27,79 is 55458

GCF of denominators i.e. for 18,59,955 is 1.

Thus, LCM of Fractions is 55458.Finally, LCM of Fractions for 78/18, 27/59, 79/955 is 55458.