Least Common Multiple of 704/72, 113/6694

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 704/72, 113/6694 quickly i.e. 39776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 704/72, 113/6694 is 39776.

LCM(704/72, 113/6694) = 39776

LCM of 704/72, 113/6694

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 704/72,113/6694

Given numbers are 704/72,113/6694

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 704,113

Least Common Multiple of Numerators i.e. LCM of 704,113 is 79552.

GCF of Denominators means GCF of 72,6694 as per the given fractions.

GCF of 72,6694 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 704,113

LCM of Fractions 704/72,113/6694 is 39776

Given numbers has no common factors except 1. So, there LCM is their product i.e 79552

Least Common Multiple of 704,113 with GCF Formula

Least Common Multiple of 704,113 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 704,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,113) = 1

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

GCF(704,113) x common factors =1 x 1 = 1

LCM(704,113) = ( 704 × 113 ) / 1

LCM(704,113) = 79552 / 1

LCM(704,113) = 79552


Lets's calculate GCF of 72,6694

2 72, 6694
36, 3347

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79552/2

Therefore the LCM of Fractions 704/72,113/6694 is 39776

Greatest Common Factor of 72,6694 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,6694 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 6694

List of positive integer factors of 6694 that divides 6694 without a remainder.

1,2,3347,6694

Greatest Common Factor

We found the factors 72,6694 . The biggest common factor number is the GCF number.
So the greatest common factor 72,6694 is 2.


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 704/72, 113/6694

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 704/72, 113/6694?

Answer: LCM of Numerators as per given numbers 704/72, 113/6694 is

LCM of Numerators i.e. for 704,113 is 79552

GCF of denominators i.e. for 72,6694 is 2.

Thus, LCM of Fractions is 39776.Finally, LCM of Fractions for 704/72, 113/6694 is 39776.