Least Common Multiple of 213/165, 1782/8994

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/165, 1782/8994 quickly i.e. 42174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/165, 1782/8994 is 42174.

LCM(213/165, 1782/8994) = 42174

LCM of 213/165, 1782/8994

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 213/165,1782/8994

Given numbers are 213/165,1782/8994

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 213,1782

Least Common Multiple of Numerators i.e. LCM of 213,1782 is 126522.

GCF of Denominators means GCF of 165,8994 as per the given fractions.

GCF of 165,8994 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,1782

LCM of Fractions 213/165,1782/8994 is 42174

3 213, 1782
71, 594

∴ So the LCM of the given numbers is 3 x 71 x 594 = 126522

Least Common Multiple of 213,1782 with GCF Formula

Least Common Multiple of 213,1782 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 213,1782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,1782) = 3

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

GCF(213,1782) x common factors =3 x 1 = 3

LCM(213,1782) = ( 213 × 1782 ) / 3

LCM(213,1782) = 379566 / 3

LCM(213,1782) = 126522


Lets's calculate GCF of 165,8994

3 165, 8994
55, 2998

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126522/3

Therefore the LCM of Fractions 213/165,1782/8994 is 42174

Greatest Common Factor of 165,8994 By Matching Biggest Common Factor Method

Greatest Common Factor of 165,8994 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 8994

List of positive integer factors of 8994 that divides 8994 without a remainder.

1,2,3,6,1499,2998,4497,8994

Greatest Common Factor

We found the factors 165,8994 . The biggest common factor number is the GCF number.
So the greatest common factor 165,8994 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 213/165, 1782/8994

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 213/165, 1782/8994?

Answer: LCM of Numerators as per given numbers 213/165, 1782/8994 is

LCM of Numerators i.e. for 213,1782 is 126522

GCF of denominators i.e. for 165,8994 is 3.

Thus, LCM of Fractions is 42174.Finally, LCM of Fractions for 213/165, 1782/8994 is 42174.