Least Common Multiple of 27/274, 408/175, 889/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/274, 408/175, 889/579 quickly i.e. 3264408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/274, 408/175, 889/579 is 3264408.

LCM(27/274, 408/175, 889/579) = 3264408

LCM of 27/274, 408/175, 889/579

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 27/274,408/175,889/579

Given numbers are 27/274,408/175,889/579

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 27,408,889

Least Common Multiple of Numerators i.e. LCM of 27,408,889 is 3264408.

GCF of Denominators means GCF of 274,175,579 as per the given fractions.

GCF of 274,175,579 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,408,889

LCM of Fractions 27/274,408/175,889/579 is 3264408

3 27, 408, 889
9, 136, 889

∴ So the LCM of the given numbers is 3 x 9 x 136 x 889 = 3264408

Least Common Multiple of 27,408,889 with GCF Formula

Least Common Multiple of 27,408,889 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 27,408,889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,408,889) = 1

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

GCF(27,408,889) x common factors =1 x 3 = 3

LCM(27,408,889) = ( 27 × 408 × 889 ) / 3

LCM(27,408,889) = 9793224 / 3

LCM(27,408,889) = 3264408


Lets's calculate GCF of 274,175,579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3264408/1

Therefore the LCM of Fractions 27/274,408/175,889/579 is 3264408

Greatest Common Factor of 274,175,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 274,175,579 By Matching Biggest Common Factor Method

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Factors of 579

List of positive integer factors of 579 that divides 579 without a remainder.

1,3,193,579

Greatest Common Factor

We found the factors 274,175,579 . The biggest common factor number is the GCF number.
So the greatest common factor 274,175,579 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 27/274, 408/175, 889/579

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 27/274, 408/175, 889/579?

Answer: LCM of Numerators as per given numbers 27/274, 408/175, 889/579 is

LCM of Numerators i.e. for 27,408,889 is 3264408

GCF of denominators i.e. for 274,175,579 is 1.

Thus, LCM of Fractions is 3264408.Finally, LCM of Fractions for 27/274, 408/175, 889/579 is 3264408.