Least Common Multiple of 91/30, 45/61, 24/36, 36/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/30, 45/61, 24/36, 36/726 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 91/30, 45/61, 24/36, 36/726 is 32760.

LCM(91/30, 45/61, 24/36, 36/726) = 32760

LCM of 91/30, 45/61, 24/36, 36/726

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 91/30,45/61,24/36,36/726

Given numbers are 91/30,45/61,24/36,36/726

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 91,45,24,36

Least Common Multiple of Numerators i.e. LCM of 91,45,24,36 is 32760.

GCF of Denominators means GCF of 30,61,36,726 as per the given fractions.

GCF of 30,61,36,726 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,45,24,36

LCM of Fractions 91/30,45/61,24/36,36/726 is 32760

2 91, 45, 24, 36
2 91, 45, 12, 18
3 91, 45, 6, 9
3 91, 15, 2, 3
91, 5, 2, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 91 x 5 x 2 x 1 = 32760

Least Common Multiple of 91,45,24,36 with GCF Formula

Least Common Multiple of 91,45,24,36 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 91,45,24,36 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,45,24,36) = 1

common factors(in case of two or more numbers have common factors) = 108

GCF(91,45,24,36) x common factors =1 x 108 = 108

LCM(91,45,24,36) = ( 91 × 45 × 24 × 36 ) / 108

LCM(91,45,24,36) = 3538080 / 108

LCM(91,45,24,36) = 32760


Lets's calculate GCF of 30,61,36,726

∴ 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 91/30,45/61,24/36,36/726 is 32760

Greatest Common Factor of 30,61,36,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,61,36,726 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 61

List of positive integer factors of 61 that divides 61 without a remainder.

1,61

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 30,61,36,726 . The biggest common factor number is the GCF number.
So the greatest common factor 30,61,36,726 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 91/30, 45/61, 24/36, 36/726

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 91/30, 45/61, 24/36, 36/726?

Answer: LCM of Numerators as per given numbers 91/30, 45/61, 24/36, 36/726 is

LCM of Numerators i.e. for 91,45,24,36 is 32760

GCF of denominators i.e. for 30,61,36,726 is 1.

Thus, LCM of Fractions is 32760.Finally, LCM of Fractions for 91/30, 45/61, 24/36, 36/726 is 32760.