Least Common Multiple of 3613/66, 6306/165

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3613/66, 6306/165 quickly i.e. 22783578/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3613/66, 6306/165 is 22783578/33.

LCM(3613/66, 6306/165) = 22783578/33

LCM of 3613/66, 6306/165

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 3613/66,6306/165

Given numbers are 3613/66,6306/165

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 3613,6306

Least Common Multiple of Numerators i.e. LCM of 3613,6306 is 22783578.

GCF of Denominators means GCF of 66,165 as per the given fractions.

GCF of 66,165 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3613,6306

LCM of Fractions 3613/66,6306/165 is 22783578/33

Given numbers has no common factors except 1. So, there LCM is their product i.e 22783578

Least Common Multiple of 3613,6306 with GCF Formula

Least Common Multiple of 3613,6306 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 3613,6306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3613,6306) = 1

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

GCF(3613,6306) x common factors =1 x 1 = 1

LCM(3613,6306) = ( 3613 × 6306 ) / 1

LCM(3613,6306) = 22783578 / 1

LCM(3613,6306) = 22783578


Lets's calculate GCF of 66,165

3 66, 165
11 22, 55
2, 5

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22783578/33

Therefore the LCM of Fractions 3613/66,6306/165 is 22783578/33

Greatest Common Factor of 66,165 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,165 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

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 66,165 . The biggest common factor number is the GCF number.
So the greatest common factor 66,165 is 33.


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 3613/66, 6306/165

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 3613/66, 6306/165?

Answer: LCM of Numerators as per given numbers 3613/66, 6306/165 is

LCM of Numerators i.e. for 3613,6306 is 22783578

GCF of denominators i.e. for 66,165 is 33.

Thus, LCM of Fractions is 22783578/33.Finally, LCM of Fractions for 3613/66, 6306/165 is 22783578/33.