Least Common Multiple of 7149/612, 9694/6994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7149/612, 9694/6994 quickly i.e. 34651203 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7149/612, 9694/6994 is 34651203.

LCM(7149/612, 9694/6994) = 34651203

LCM of 7149/612, 9694/6994

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 7149/612,9694/6994

Given numbers are 7149/612,9694/6994

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 7149,9694

Least Common Multiple of Numerators i.e. LCM of 7149,9694 is 69302406.

GCF of Denominators means GCF of 612,6994 as per the given fractions.

GCF of 612,6994 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7149,9694

LCM of Fractions 7149/612,9694/6994 is 34651203

Given numbers has no common factors except 1. So, there LCM is their product i.e 69302406

Least Common Multiple of 7149,9694 with GCF Formula

Least Common Multiple of 7149,9694 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 7149,9694 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7149,9694) = 1

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

GCF(7149,9694) x common factors =1 x 1 = 1

LCM(7149,9694) = ( 7149 × 9694 ) / 1

LCM(7149,9694) = 69302406 / 1

LCM(7149,9694) = 69302406


Lets's calculate GCF of 612,6994

2 612, 6994
306, 3497

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69302406/2

Therefore the LCM of Fractions 7149/612,9694/6994 is 34651203

Greatest Common Factor of 612,6994 By Matching Biggest Common Factor Method

Greatest Common Factor of 612,6994 By Matching Biggest Common Factor Method

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 6994

List of positive integer factors of 6994 that divides 6994 without a remainder.

1,2,13,26,269,538,3497,6994

Greatest Common Factor

We found the factors 612,6994 . The biggest common factor number is the GCF number.
So the greatest common factor 612,6994 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 7149/612, 9694/6994

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 7149/612, 9694/6994?

Answer: LCM of Numerators as per given numbers 7149/612, 9694/6994 is

LCM of Numerators i.e. for 7149,9694 is 69302406

GCF of denominators i.e. for 612,6994 is 2.

Thus, LCM of Fractions is 34651203.Finally, LCM of Fractions for 7149/612, 9694/6994 is 34651203.