Least Common Multiple of 709/12, 6774/399

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/12, 6774/399 quickly i.e. 1600922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/12, 6774/399 is 1600922.

LCM(709/12, 6774/399) = 1600922

LCM of 709/12, 6774/399

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 709/12,6774/399

Given numbers are 709/12,6774/399

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 709,6774

Least Common Multiple of Numerators i.e. LCM of 709,6774 is 4802766.

GCF of Denominators means GCF of 12,399 as per the given fractions.

GCF of 12,399 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,6774

LCM of Fractions 709/12,6774/399 is 1600922

Given numbers has no common factors except 1. So, there LCM is their product i.e 4802766

Least Common Multiple of 709,6774 with GCF Formula

Least Common Multiple of 709,6774 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 709,6774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,6774) = 1

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

GCF(709,6774) x common factors =1 x 1 = 1

LCM(709,6774) = ( 709 × 6774 ) / 1

LCM(709,6774) = 4802766 / 1

LCM(709,6774) = 4802766


Lets's calculate GCF of 12,399

3 12, 399
4, 133

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4802766/3

Therefore the LCM of Fractions 709/12,6774/399 is 1600922

Greatest Common Factor of 12,399 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,399 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Greatest Common Factor

We found the factors 12,399 . The biggest common factor number is the GCF number.
So the greatest common factor 12,399 is 3.


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 709/12, 6774/399

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 709/12, 6774/399?

Answer: LCM of Numerators as per given numbers 709/12, 6774/399 is

LCM of Numerators i.e. for 709,6774 is 4802766

GCF of denominators i.e. for 12,399 is 3.

Thus, LCM of Fractions is 1600922.Finally, LCM of Fractions for 709/12, 6774/399 is 1600922.