Least Common Multiple of 27/84, 597/93, 878/757

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/84, 597/93, 878/757 quickly i.e. 4717494 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/84, 597/93, 878/757 is 4717494.

LCM(27/84, 597/93, 878/757) = 4717494

LCM of 27/84, 597/93, 878/757

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 27/84,597/93,878/757

Given numbers are 27/84,597/93,878/757

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 27,597,878

Least Common Multiple of Numerators i.e. LCM of 27,597,878 is 4717494.

GCF of Denominators means GCF of 84,93,757 as per the given fractions.

GCF of 84,93,757 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,597,878

LCM of Fractions 27/84,597/93,878/757 is 4717494

3 27, 597, 878
9, 199, 878

∴ So the LCM of the given numbers is 3 x 9 x 199 x 878 = 4717494

Least Common Multiple of 27,597,878 with GCF Formula

Least Common Multiple of 27,597,878 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 27,597,878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,597,878) = 1

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

GCF(27,597,878) x common factors =1 x 3 = 3

LCM(27,597,878) = ( 27 × 597 × 878 ) / 3

LCM(27,597,878) = 14152482 / 3

LCM(27,597,878) = 4717494


Lets's calculate GCF of 84,93,757

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4717494/1

Therefore the LCM of Fractions 27/84,597/93,878/757 is 4717494

Greatest Common Factor of 84,93,757 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,93,757 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 757

List of positive integer factors of 757 that divides 757 without a remainder.

1,757

Greatest Common Factor

We found the factors 84,93,757 . The biggest common factor number is the GCF number.
So the greatest common factor 84,93,757 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 27/84, 597/93, 878/757

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 27/84, 597/93, 878/757?

Answer: LCM of Numerators as per given numbers 27/84, 597/93, 878/757 is

LCM of Numerators i.e. for 27,597,878 is 4717494

GCF of denominators i.e. for 84,93,757 is 1.

Thus, LCM of Fractions is 4717494.Finally, LCM of Fractions for 27/84, 597/93, 878/757 is 4717494.