Least Common Multiple of 95/744, 95/540, 181/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/744, 95/540, 181/369 quickly i.e. 17195/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/744, 95/540, 181/369 is 17195/3.

LCM(95/744, 95/540, 181/369) = 17195/3

LCM of 95/744, 95/540, 181/369

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 95/744,95/540,181/369

Given numbers are 95/744,95/540,181/369

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 95,95,181

Least Common Multiple of Numerators i.e. LCM of 95,95,181 is 17195.

GCF of Denominators means GCF of 744,540,369 as per the given fractions.

GCF of 744,540,369 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,95,181

LCM of Fractions 95/744,95/540,181/369 is 17195/3

5 95, 95, 181
19 19, 19, 181
1, 1, 181

∴ So the LCM of the given numbers is 5 x 19 x 1 x 1 x 181 = 17195

Least Common Multiple of 95,95,181 with GCF Formula

Least Common Multiple of 95,95,181 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 95,95,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,95,181) = 1

common factors(in case of two or more numbers have common factors) = 95

GCF(95,95,181) x common factors =1 x 95 = 95

LCM(95,95,181) = ( 95 × 95 × 181 ) / 95

LCM(95,95,181) = 1633525 / 95

LCM(95,95,181) = 17195


Lets's calculate GCF of 744,540,369

3 744, 540, 369
248, 180, 123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17195/3

Therefore the LCM of Fractions 95/744,95/540,181/369 is 17195/3

Greatest Common Factor of 744,540,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,540,369 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 744,540,369 . The biggest common factor number is the GCF number.
So the greatest common factor 744,540,369 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 95/744, 95/540, 181/369

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 95/744, 95/540, 181/369?

Answer: LCM of Numerators as per given numbers 95/744, 95/540, 181/369 is

LCM of Numerators i.e. for 95,95,181 is 17195

GCF of denominators i.e. for 744,540,369 is 3.

Thus, LCM of Fractions is 17195/3.Finally, LCM of Fractions for 95/744, 95/540, 181/369 is 17195/3.