Least Common Multiple of 79/27, 71/57, 63/411

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 79/27, 71/57, 63/411 quickly i.e. 117789 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, 71/57, 63/411 is 117789.

LCM(79/27, 71/57, 63/411) = 117789

LCM of 79/27, 71/57, 63/411

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 79/27,71/57,63/411

Given numbers are 79/27,71/57,63/411

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 79,71,63

Least Common Multiple of Numerators i.e. LCM of 79,71,63 is 353367.

GCF of Denominators means GCF of 27,57,411 as per the given fractions.

GCF of 27,57,411 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,71,63

LCM of Fractions 79/27,71/57,63/411 is 117789

Given numbers has no common factors except 1. So, there LCM is their product i.e 353367

Least Common Multiple of 79,71,63 with GCF Formula

Least Common Multiple of 79,71,63 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 79,71,63 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,71,63) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(79,71,63) x common factors =1 x 1 = 1

LCM(79,71,63) = ( 79 × 71 × 63 ) / 1

LCM(79,71,63) = 353367 / 1

LCM(79,71,63) = 353367


Lets's calculate GCF of 27,57,411

3 27, 57, 411
9, 19, 137

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 353367/3

Therefore the LCM of Fractions 79/27,71/57,63/411 is 117789

Greatest Common Factor of 27,57,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,57,411 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 57

List of positive integer factors of 57 that divides 57 without a remainder.

1,3,19,57

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 27,57,411 . The biggest common factor number is the GCF number.
So the greatest common factor 27,57,411 is 3.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 79/27, 71/57, 63/411

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, 71/57, 63/411?

Answer: LCM of Numerators as per given numbers 79/27, 71/57, 63/411 is

LCM of Numerators i.e. for 79,71,63 is 353367

GCF of denominators i.e. for 27,57,411 is 3.

Thus, LCM of Fractions is 117789.Finally, LCM of Fractions for 79/27, 71/57, 63/411 is 117789.