Least Common Multiple of 7404/730, 7372/1199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7404/730, 7372/1199 quickly i.e. 13645572 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7404/730, 7372/1199 is 13645572.

LCM(7404/730, 7372/1199) = 13645572

LCM of 7404/730, 7372/1199

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 7404/730,7372/1199

Given numbers are 7404/730,7372/1199

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 7404,7372

Least Common Multiple of Numerators i.e. LCM of 7404,7372 is 13645572.

GCF of Denominators means GCF of 730,1199 as per the given fractions.

GCF of 730,1199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7404,7372

LCM of Fractions 7404/730,7372/1199 is 13645572

2 7404, 7372
2 3702, 3686
1851, 1843

∴ So the LCM of the given numbers is 2 x 2 x 1851 x 1843 = 13645572

Least Common Multiple of 7404,7372 with GCF Formula

Least Common Multiple of 7404,7372 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 7404,7372 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7404,7372) = 4

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

GCF(7404,7372) x common factors =4 x 1 = 4

LCM(7404,7372) = ( 7404 × 7372 ) / 4

LCM(7404,7372) = 54582288 / 4

LCM(7404,7372) = 13645572


Lets's calculate GCF of 730,1199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13645572/1

Therefore the LCM of Fractions 7404/730,7372/1199 is 13645572

Greatest Common Factor of 730,1199 By Matching Biggest Common Factor Method

Greatest Common Factor of 730,1199 By Matching Biggest Common Factor Method

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Factors of 1199

List of positive integer factors of 1199 that divides 1199 without a remainder.

1,11,109,1199

Greatest Common Factor

We found the factors 730,1199 . The biggest common factor number is the GCF number.
So the greatest common factor 730,1199 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 7404/730, 7372/1199

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 7404/730, 7372/1199?

Answer: LCM of Numerators as per given numbers 7404/730, 7372/1199 is

LCM of Numerators i.e. for 7404,7372 is 13645572

GCF of denominators i.e. for 730,1199 is 1.

Thus, LCM of Fractions is 13645572.Finally, LCM of Fractions for 7404/730, 7372/1199 is 13645572.