Least Common Multiple of 3023/990, 9007/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3023/990, 9007/165 quickly i.e. 27228161/165 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3023/990, 9007/165 is 27228161/165.

LCM(3023/990, 9007/165) = 27228161/165

LCM of 3023/990, 9007/165

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 3023/990,9007/165

Given numbers are 3023/990,9007/165

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 3023,9007

Least Common Multiple of Numerators i.e. LCM of 3023,9007 is 27228161.

GCF of Denominators means GCF of 990,165 as per the given fractions.

GCF of 990,165 is 165 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3023,9007

LCM of Fractions 3023/990,9007/165 is 27228161/165

Given numbers has no common factors except 1. So, there LCM is their product i.e 27228161

Least Common Multiple of 3023,9007 with GCF Formula

Least Common Multiple of 3023,9007 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 3023,9007 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3023,9007) = 1

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

GCF(3023,9007) x common factors =1 x 1 = 1

LCM(3023,9007) = ( 3023 × 9007 ) / 1

LCM(3023,9007) = 27228161 / 1

LCM(3023,9007) = 27228161


Lets's calculate GCF of 990,165

3 990, 165
5 330, 55
11 66, 11
6, 1

∴ So the GCF of the given numbers is 3 x 5 x 11 = 165

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27228161/165

Therefore the LCM of Fractions 3023/990,9007/165 is 27228161/165

Greatest Common Factor of 990,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,165 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Greatest Common Factor

We found the factors 990,165 . The biggest common factor number is the GCF number.
So the greatest common factor 990,165 is 165.


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 3023/990, 9007/165

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 3023/990, 9007/165?

Answer: LCM of Numerators as per given numbers 3023/990, 9007/165 is

LCM of Numerators i.e. for 3023,9007 is 27228161

GCF of denominators i.e. for 990,165 is 165.

Thus, LCM of Fractions is 27228161/165.Finally, LCM of Fractions for 3023/990, 9007/165 is 27228161/165.