Least Common Multiple of 7465/165, 5466/111

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7465/165, 5466/111 quickly i.e. 13601230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7465/165, 5466/111 is 13601230.

LCM(7465/165, 5466/111) = 13601230

LCM of 7465/165, 5466/111

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 7465/165,5466/111

Given numbers are 7465/165,5466/111

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 7465,5466

Least Common Multiple of Numerators i.e. LCM of 7465,5466 is 40803690.

GCF of Denominators means GCF of 165,111 as per the given fractions.

GCF of 165,111 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7465,5466

LCM of Fractions 7465/165,5466/111 is 13601230

Given numbers has no common factors except 1. So, there LCM is their product i.e 40803690

Least Common Multiple of 7465,5466 with GCF Formula

Least Common Multiple of 7465,5466 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 7465,5466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7465,5466) = 1

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

GCF(7465,5466) x common factors =1 x 1 = 1

LCM(7465,5466) = ( 7465 × 5466 ) / 1

LCM(7465,5466) = 40803690 / 1

LCM(7465,5466) = 40803690


Lets's calculate GCF of 165,111

3 165, 111
55, 37

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40803690/3

Therefore the LCM of Fractions 7465/165,5466/111 is 13601230

Greatest Common Factor of 165,111 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,111 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 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Greatest Common Factor

We found the factors 165,111 . The biggest common factor number is the GCF number.
So the greatest common factor 165,111 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 7465/165, 5466/111

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 7465/165, 5466/111?

Answer: LCM of Numerators as per given numbers 7465/165, 5466/111 is

LCM of Numerators i.e. for 7465,5466 is 40803690

GCF of denominators i.e. for 165,111 is 3.

Thus, LCM of Fractions is 13601230.Finally, LCM of Fractions for 7465/165, 5466/111 is 13601230.