Least Common Multiple of 308/389, 2002/7245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 308/389, 2002/7245 quickly i.e. 4004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 308/389, 2002/7245 is 4004.

LCM(308/389, 2002/7245) = 4004

LCM of 308/389, 2002/7245

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 308/389,2002/7245

Given numbers are 308/389,2002/7245

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 308,2002

Least Common Multiple of Numerators i.e. LCM of 308,2002 is 4004.

GCF of Denominators means GCF of 389,7245 as per the given fractions.

GCF of 389,7245 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 308,2002

LCM of Fractions 308/389,2002/7245 is 4004

2 308, 2002
7 154, 1001
11 22, 143
2, 13

∴ So the LCM of the given numbers is 2 x 7 x 11 x 2 x 13 = 4004

Least Common Multiple of 308,2002 with GCF Formula

Least Common Multiple of 308,2002 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 308,2002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(308,2002) = 154

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

GCF(308,2002) x common factors =154 x 1 = 154

LCM(308,2002) = ( 308 × 2002 ) / 154

LCM(308,2002) = 616616 / 154

LCM(308,2002) = 4004


Lets's calculate GCF of 389,7245

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4004/1

Therefore the LCM of Fractions 308/389,2002/7245 is 4004

Greatest Common Factor of 389,7245 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,7245 By Matching Biggest Common Factor Method

Factors of 389

List of positive integer factors of 389 that divides 389 without a remainder.

1,389

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245

Greatest Common Factor

We found the factors 389,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 389,7245 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 308/389, 2002/7245

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 308/389, 2002/7245?

Answer: LCM of Numerators as per given numbers 308/389, 2002/7245 is

LCM of Numerators i.e. for 308,2002 is 4004

GCF of denominators i.e. for 389,7245 is 1.

Thus, LCM of Fractions is 4004.Finally, LCM of Fractions for 308/389, 2002/7245 is 4004.