Least Common Multiple of 794/13, 729/40, 380/706

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 794/13, 729/40, 380/706 quickly i.e. 109976940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 794/13, 729/40, 380/706 is 109976940.

LCM(794/13, 729/40, 380/706) = 109976940

LCM of 794/13, 729/40, 380/706

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 794/13,729/40,380/706

Given numbers are 794/13,729/40,380/706

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 794,729,380

Least Common Multiple of Numerators i.e. LCM of 794,729,380 is 109976940.

GCF of Denominators means GCF of 13,40,706 as per the given fractions.

GCF of 13,40,706 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 794,729,380

LCM of Fractions 794/13,729/40,380/706 is 109976940

2 794, 729, 380
397, 729, 190

∴ So the LCM of the given numbers is 2 x 397 x 729 x 190 = 109976940

Least Common Multiple of 794,729,380 with GCF Formula

Least Common Multiple of 794,729,380 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 794,729,380 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(794,729,380) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(794,729,380) x common factors =1 x 2 = 2

LCM(794,729,380) = ( 794 × 729 × 380 ) / 2

LCM(794,729,380) = 219953880 / 2

LCM(794,729,380) = 109976940


Lets's calculate GCF of 13,40,706

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109976940/1

Therefore the LCM of Fractions 794/13,729/40,380/706 is 109976940

Greatest Common Factor of 13,40,706 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,40,706 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

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 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Greatest Common Factor

We found the factors 13,40,706 . The biggest common factor number is the GCF number.
So the greatest common factor 13,40,706 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 794/13, 729/40, 380/706

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 794/13, 729/40, 380/706?

Answer: LCM of Numerators as per given numbers 794/13, 729/40, 380/706 is

LCM of Numerators i.e. for 794,729,380 is 109976940

GCF of denominators i.e. for 13,40,706 is 1.

Thus, LCM of Fractions is 109976940.Finally, LCM of Fractions for 794/13, 729/40, 380/706 is 109976940.