Least Common Multiple of 3683/165, 3508/849

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3683/165, 3508/849 quickly i.e. 12919964/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3683/165, 3508/849 is 12919964/3.

LCM(3683/165, 3508/849) = 12919964/3

LCM of 3683/165, 3508/849

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 3683/165,3508/849

Given numbers are 3683/165,3508/849

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 3683,3508

Least Common Multiple of Numerators i.e. LCM of 3683,3508 is 12919964.

GCF of Denominators means GCF of 165,849 as per the given fractions.

GCF of 165,849 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3683,3508

LCM of Fractions 3683/165,3508/849 is 12919964/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 12919964

Least Common Multiple of 3683,3508 with GCF Formula

Least Common Multiple of 3683,3508 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 3683,3508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3683,3508) = 1

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

GCF(3683,3508) x common factors =1 x 1 = 1

LCM(3683,3508) = ( 3683 × 3508 ) / 1

LCM(3683,3508) = 12919964 / 1

LCM(3683,3508) = 12919964


Lets's calculate GCF of 165,849

3 165, 849
55, 283

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12919964/3

Therefore the LCM of Fractions 3683/165,3508/849 is 12919964/3

Greatest Common Factor of 165,849 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,849 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 849

List of positive integer factors of 849 that divides 849 without a remainder.

1,3,283,849

Greatest Common Factor

We found the factors 165,849 . The biggest common factor number is the GCF number.
So the greatest common factor 165,849 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 3683/165, 3508/849

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 3683/165, 3508/849?

Answer: LCM of Numerators as per given numbers 3683/165, 3508/849 is

LCM of Numerators i.e. for 3683,3508 is 12919964

GCF of denominators i.e. for 165,849 is 3.

Thus, LCM of Fractions is 12919964/3.Finally, LCM of Fractions for 3683/165, 3508/849 is 12919964/3.