Least Common Multiple of 22/728, 24/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 22/728, 24/793 quickly i.e. 264/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 22/728, 24/793 is 264/13.

LCM(22/728, 24/793) = 264/13

LCM of 22/728, 24/793

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 22/728,24/793

Given numbers are 22/728,24/793

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 22,24

Least Common Multiple of Numerators i.e. LCM of 22,24 is 264.

GCF of Denominators means GCF of 728,793 as per the given fractions.

GCF of 728,793 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 22,24

LCM of Fractions 22/728,24/793 is 264/13

2 22, 24
11, 12

∴ So the LCM of the given numbers is 2 x 11 x 12 = 264

Least Common Multiple of 22,24 with GCF Formula

Least Common Multiple of 22,24 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 22,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,24) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(22,24) x common factors =2 x 1 = 2

LCM(22,24) = ( 22 × 24 ) / 2

LCM(22,24) = 528 / 2

LCM(22,24) = 264


Lets's calculate GCF of 728,793

13 728, 793
56, 61

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264/13

Therefore the LCM of Fractions 22/728,24/793 is 264/13

Greatest Common Factor of 728,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 728,793 By Matching Biggest Common Factor Method

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 728,793 . The biggest common factor number is the GCF number.
So the greatest common factor 728,793 is 13.


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 22/728, 24/793

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 22/728, 24/793?

Answer: LCM of Numerators as per given numbers 22/728, 24/793 is

LCM of Numerators i.e. for 22,24 is 264

GCF of denominators i.e. for 728,793 is 13.

Thus, LCM of Fractions is 264/13.Finally, LCM of Fractions for 22/728, 24/793 is 264/13.