Least Common Multiple of 28/29, 73/20, 61/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/29, 73/20, 61/768 quickly i.e. 124684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/29, 73/20, 61/768 is 124684.

LCM(28/29, 73/20, 61/768) = 124684

LCM of 28/29, 73/20, 61/768

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 28/29,73/20,61/768

Given numbers are 28/29,73/20,61/768

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 28,73,61

Least Common Multiple of Numerators i.e. LCM of 28,73,61 is 124684.

GCF of Denominators means GCF of 29,20,768 as per the given fractions.

GCF of 29,20,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,73,61

LCM of Fractions 28/29,73/20,61/768 is 124684

Given numbers has no common factors except 1. So, there LCM is their product i.e 124684

Least Common Multiple of 28,73,61 with GCF Formula

Least Common Multiple of 28,73,61 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 28,73,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,73,61) = 1

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

GCF(28,73,61) x common factors =1 x 1 = 1

LCM(28,73,61) = ( 28 × 73 × 61 ) / 1

LCM(28,73,61) = 124684 / 1

LCM(28,73,61) = 124684


Lets's calculate GCF of 29,20,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 124684/1

Therefore the LCM of Fractions 28/29,73/20,61/768 is 124684

Greatest Common Factor of 29,20,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,20,768 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 29,20,768 . The biggest common factor number is the GCF number.
So the greatest common factor 29,20,768 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 28/29, 73/20, 61/768

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 28/29, 73/20, 61/768?

Answer: LCM of Numerators as per given numbers 28/29, 73/20, 61/768 is

LCM of Numerators i.e. for 28,73,61 is 124684

GCF of denominators i.e. for 29,20,768 is 1.

Thus, LCM of Fractions is 124684.Finally, LCM of Fractions for 28/29, 73/20, 61/768 is 124684.