Least Common Multiple of 163/135, 8591/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 163/135, 8591/165 quickly i.e. 1400333/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 163/135, 8591/165 is 1400333/15.

LCM(163/135, 8591/165) = 1400333/15

LCM of 163/135, 8591/165

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 163/135,8591/165

Given numbers are 163/135,8591/165

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 163,8591

Least Common Multiple of Numerators i.e. LCM of 163,8591 is 1400333.

GCF of Denominators means GCF of 135,165 as per the given fractions.

GCF of 135,165 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 163,8591

LCM of Fractions 163/135,8591/165 is 1400333/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 1400333

Least Common Multiple of 163,8591 with GCF Formula

Least Common Multiple of 163,8591 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 163,8591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(163,8591) = 1

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

GCF(163,8591) x common factors =1 x 1 = 1

LCM(163,8591) = ( 163 × 8591 ) / 1

LCM(163,8591) = 1400333 / 1

LCM(163,8591) = 1400333


Lets's calculate GCF of 135,165

3 135, 165
5 45, 55
9, 11

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1400333/15

Therefore the LCM of Fractions 163/135,8591/165 is 1400333/15

Greatest Common Factor of 135,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 135,165 By Matching Biggest Common Factor Method

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

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 135,165 . The biggest common factor number is the GCF number.
So the greatest common factor 135,165 is 15.


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 163/135, 8591/165

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 163/135, 8591/165?

Answer: LCM of Numerators as per given numbers 163/135, 8591/165 is

LCM of Numerators i.e. for 163,8591 is 1400333

GCF of denominators i.e. for 135,165 is 15.

Thus, LCM of Fractions is 1400333/15.Finally, LCM of Fractions for 163/135, 8591/165 is 1400333/15.