Least Common Multiple of 79/27, 82/68, 69/26, 72/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/27, 82/68, 69/26, 72/784 quickly i.e. 5363784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/27, 82/68, 69/26, 72/784 is 5363784.

LCM(79/27, 82/68, 69/26, 72/784) = 5363784

LCM of 79/27, 82/68, 69/26, 72/784

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 79/27,82/68,69/26,72/784

Given numbers are 79/27,82/68,69/26,72/784

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 79,82,69,72

Least Common Multiple of Numerators i.e. LCM of 79,82,69,72 is 5363784.

GCF of Denominators means GCF of 27,68,26,784 as per the given fractions.

GCF of 27,68,26,784 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,82,69,72

LCM of Fractions 79/27,82/68,69/26,72/784 is 5363784

2 79, 82, 69, 72
3 79, 41, 69, 36
79, 41, 23, 12

∴ So the LCM of the given numbers is 2 x 3 x 79 x 41 x 23 x 12 = 5363784

Least Common Multiple of 79,82,69,72 with GCF Formula

Least Common Multiple of 79,82,69,72 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 79,82,69,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,82,69,72) = 1

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

GCF(79,82,69,72) x common factors =1 x 6 = 6

LCM(79,82,69,72) = ( 79 × 82 × 69 × 72 ) / 6

LCM(79,82,69,72) = 32182704 / 6

LCM(79,82,69,72) = 5363784


Lets's calculate GCF of 27,68,26,784

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5363784/1

Therefore the LCM of Fractions 79/27,82/68,69/26,72/784 is 5363784

Greatest Common Factor of 27,68,26,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,68,26,784 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 27,68,26,784 . The biggest common factor number is the GCF number.
So the greatest common factor 27,68,26,784 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 79/27, 82/68, 69/26, 72/784

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 79/27, 82/68, 69/26, 72/784?

Answer: LCM of Numerators as per given numbers 79/27, 82/68, 69/26, 72/784 is

LCM of Numerators i.e. for 79,82,69,72 is 5363784

GCF of denominators i.e. for 27,68,26,784 is 1.

Thus, LCM of Fractions is 5363784.Finally, LCM of Fractions for 79/27, 82/68, 69/26, 72/784 is 5363784.