Least Common Multiple of 72/85, 65/99, 364/291

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/85, 65/99, 364/291 quickly i.e. 32760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/85, 65/99, 364/291 is 32760.

LCM(72/85, 65/99, 364/291) = 32760

LCM of 72/85, 65/99, 364/291

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 72/85,65/99,364/291

Given numbers are 72/85,65/99,364/291

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 72,65,364

Least Common Multiple of Numerators i.e. LCM of 72,65,364 is 32760.

GCF of Denominators means GCF of 85,99,291 as per the given fractions.

GCF of 85,99,291 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,65,364

LCM of Fractions 72/85,65/99,364/291 is 32760

2 72, 65, 364
2 36, 65, 182
13 18, 65, 91
18, 5, 7

∴ So the LCM of the given numbers is 2 x 2 x 13 x 18 x 5 x 7 = 32760

Least Common Multiple of 72,65,364 with GCF Formula

Least Common Multiple of 72,65,364 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 72,65,364 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,65,364) = 1

common factors(in case of two or more numbers have common factors) = 52

GCF(72,65,364) x common factors =1 x 52 = 52

LCM(72,65,364) = ( 72 × 65 × 364 ) / 52

LCM(72,65,364) = 1703520 / 52

LCM(72,65,364) = 32760


Lets's calculate GCF of 85,99,291

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32760/1

Therefore the LCM of Fractions 72/85,65/99,364/291 is 32760

Greatest Common Factor of 85,99,291 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,99,291 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 291

List of positive integer factors of 291 that divides 291 without a remainder.

1,3,97,291

Greatest Common Factor

We found the factors 85,99,291 . The biggest common factor number is the GCF number.
So the greatest common factor 85,99,291 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 72/85, 65/99, 364/291

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 72/85, 65/99, 364/291?

Answer: LCM of Numerators as per given numbers 72/85, 65/99, 364/291 is

LCM of Numerators i.e. for 72,65,364 is 32760

GCF of denominators i.e. for 85,99,291 is 1.

Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 72/85, 65/99, 364/291 is 32760.