Least Common Multiple of 73/40, 39/43, 793/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 73/40, 39/43, 793/715 quickly i.e. 173667 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 73/40, 39/43, 793/715 is 173667.

LCM(73/40, 39/43, 793/715) = 173667

LCM of 73/40, 39/43, 793/715

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 73/40,39/43,793/715

Given numbers are 73/40,39/43,793/715

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 73,39,793

Least Common Multiple of Numerators i.e. LCM of 73,39,793 is 173667.

GCF of Denominators means GCF of 40,43,715 as per the given fractions.

GCF of 40,43,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 73,39,793

LCM of Fractions 73/40,39/43,793/715 is 173667

13 73, 39, 793
73, 3, 61

∴ So the LCM of the given numbers is 13 x 73 x 3 x 61 = 173667

Least Common Multiple of 73,39,793 with GCF Formula

Least Common Multiple of 73,39,793 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 73,39,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,39,793) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(73,39,793) x common factors =1 x 13 = 13

LCM(73,39,793) = ( 73 × 39 × 793 ) / 13

LCM(73,39,793) = 2257671 / 13

LCM(73,39,793) = 173667


Lets's calculate GCF of 40,43,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173667/1

Therefore the LCM of Fractions 73/40,39/43,793/715 is 173667

Greatest Common Factor of 40,43,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,43,715 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 40,43,715 . The biggest common factor number is the GCF number.
So the greatest common factor 40,43,715 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 73/40, 39/43, 793/715

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 73/40, 39/43, 793/715?

Answer: LCM of Numerators as per given numbers 73/40, 39/43, 793/715 is

LCM of Numerators i.e. for 73,39,793 is 173667

GCF of denominators i.e. for 40,43,715 is 1.

Thus, LCM of Fractions is 173667.Finally, LCM of Fractions for 73/40, 39/43, 793/715 is 173667.