Least Common Multiple of 95/96, 13/27, 949/579

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/96, 13/27, 949/579 quickly i.e. 90155/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/96, 13/27, 949/579 is 90155/3.

LCM(95/96, 13/27, 949/579) = 90155/3

LCM of 95/96, 13/27, 949/579

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 95/96,13/27,949/579

Given numbers are 95/96,13/27,949/579

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 95,13,949

Least Common Multiple of Numerators i.e. LCM of 95,13,949 is 90155.

GCF of Denominators means GCF of 96,27,579 as per the given fractions.

GCF of 96,27,579 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,13,949

LCM of Fractions 95/96,13/27,949/579 is 90155/3

13 95, 13, 949
95, 1, 73

∴ So the LCM of the given numbers is 13 x 95 x 1 x 73 = 90155

Least Common Multiple of 95,13,949 with GCF Formula

Least Common Multiple of 95,13,949 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 95,13,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,13,949) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(95,13,949) x common factors =1 x 13 = 13

LCM(95,13,949) = ( 95 × 13 × 949 ) / 13

LCM(95,13,949) = 1172015 / 13

LCM(95,13,949) = 90155


Lets's calculate GCF of 96,27,579

3 96, 27, 579
32, 9, 193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90155/3

Therefore the LCM of Fractions 95/96,13/27,949/579 is 90155/3

Greatest Common Factor of 96,27,579 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,27,579 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 27

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

1,3,9,27

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 96,27,579 . The biggest common factor number is the GCF number.
So the greatest common factor 96,27,579 is 3.


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 95/96, 13/27, 949/579

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 95/96, 13/27, 949/579?

Answer: LCM of Numerators as per given numbers 95/96, 13/27, 949/579 is

LCM of Numerators i.e. for 95,13,949 is 90155

GCF of denominators i.e. for 96,27,579 is 3.

Thus, LCM of Fractions is 90155/3.Finally, LCM of Fractions for 95/96, 13/27, 949/579 is 90155/3.