Least Common Multiple of 9568/165, 3106/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9568/165, 3106/993 quickly i.e. 14859104/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9568/165, 3106/993 is 14859104/3.

LCM(9568/165, 3106/993) = 14859104/3

LCM of 9568/165, 3106/993

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 9568/165,3106/993

Given numbers are 9568/165,3106/993

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 9568,3106

Least Common Multiple of Numerators i.e. LCM of 9568,3106 is 14859104.

GCF of Denominators means GCF of 165,993 as per the given fractions.

GCF of 165,993 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9568,3106

LCM of Fractions 9568/165,3106/993 is 14859104/3

2 9568, 3106
4784, 1553

∴ So the LCM of the given numbers is 2 x 4784 x 1553 = 14859104

Least Common Multiple of 9568,3106 with GCF Formula

Least Common Multiple of 9568,3106 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 9568,3106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9568,3106) = 2

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

GCF(9568,3106) x common factors =2 x 1 = 2

LCM(9568,3106) = ( 9568 × 3106 ) / 2

LCM(9568,3106) = 29718208 / 2

LCM(9568,3106) = 14859104


Lets's calculate GCF of 165,993

3 165, 993
55, 331

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14859104/3

Therefore the LCM of Fractions 9568/165,3106/993 is 14859104/3

Greatest Common Factor of 165,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,993 By Matching Biggest Common Factor Method

Factors of 165

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

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

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 165,993 . The biggest common factor number is the GCF number.
So the greatest common factor 165,993 is 3.


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 9568/165, 3106/993

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 9568/165, 3106/993?

Answer: LCM of Numerators as per given numbers 9568/165, 3106/993 is

LCM of Numerators i.e. for 9568,3106 is 14859104

GCF of denominators i.e. for 165,993 is 3.

Thus, LCM of Fractions is 14859104/3.Finally, LCM of Fractions for 9568/165, 3106/993 is 14859104/3.