Least Common Multiple of 3002/242, 1633/6689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3002/242, 1633/6689 quickly i.e. 4902266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3002/242, 1633/6689 is 4902266.

LCM(3002/242, 1633/6689) = 4902266

LCM of 3002/242, 1633/6689

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 3002/242,1633/6689

Given numbers are 3002/242,1633/6689

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 3002,1633

Least Common Multiple of Numerators i.e. LCM of 3002,1633 is 4902266.

GCF of Denominators means GCF of 242,6689 as per the given fractions.

GCF of 242,6689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3002,1633

LCM of Fractions 3002/242,1633/6689 is 4902266

Given numbers has no common factors except 1. So, there LCM is their product i.e 4902266

Least Common Multiple of 3002,1633 with GCF Formula

Least Common Multiple of 3002,1633 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 3002,1633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3002,1633) = 1

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

GCF(3002,1633) x common factors =1 x 1 = 1

LCM(3002,1633) = ( 3002 × 1633 ) / 1

LCM(3002,1633) = 4902266 / 1

LCM(3002,1633) = 4902266


Lets's calculate GCF of 242,6689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4902266/1

Therefore the LCM of Fractions 3002/242,1633/6689 is 4902266

Greatest Common Factor of 242,6689 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,6689 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 6689

List of positive integer factors of 6689 that divides 6689 without a remainder.

1,6689

Greatest Common Factor

We found the factors 242,6689 . The biggest common factor number is the GCF number.
So the greatest common factor 242,6689 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 3002/242, 1633/6689

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 3002/242, 1633/6689?

Answer: LCM of Numerators as per given numbers 3002/242, 1633/6689 is

LCM of Numerators i.e. for 3002,1633 is 4902266

GCF of denominators i.e. for 242,6689 is 1.

Thus, LCM of Fractions is 4902266.Finally, LCM of Fractions for 3002/242, 1633/6689 is 4902266.