Least Common Multiple of 205/609, 9813/156

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 205/609, 9813/156 quickly i.e. 670555 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/609, 9813/156 is 670555.

LCM(205/609, 9813/156) = 670555

LCM of 205/609, 9813/156

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 205/609,9813/156

Given numbers are 205/609,9813/156

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 205,9813

Least Common Multiple of Numerators i.e. LCM of 205,9813 is 2011665.

GCF of Denominators means GCF of 609,156 as per the given fractions.

GCF of 609,156 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,9813

LCM of Fractions 205/609,9813/156 is 670555

Given numbers has no common factors except 1. So, there LCM is their product i.e 2011665

Least Common Multiple of 205,9813 with GCF Formula

Least Common Multiple of 205,9813 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 205,9813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,9813) = 1

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

GCF(205,9813) x common factors =1 x 1 = 1

LCM(205,9813) = ( 205 × 9813 ) / 1

LCM(205,9813) = 2011665 / 1

LCM(205,9813) = 2011665


Lets's calculate GCF of 609,156

3 609, 156
203, 52

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2011665/3

Therefore the LCM of Fractions 205/609,9813/156 is 670555

Greatest Common Factor of 609,156 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,156 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 156

List of positive integer factors of 156 that divides 156 without a remainder.

1,2,3,4,6,12,13,26,39,52,78,156

Greatest Common Factor

We found the factors 609,156 . The biggest common factor number is the GCF number.
So the greatest common factor 609,156 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 205/609, 9813/156

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 205/609, 9813/156?

Answer: LCM of Numerators as per given numbers 205/609, 9813/156 is

LCM of Numerators i.e. for 205,9813 is 2011665

GCF of denominators i.e. for 609,156 is 3.

Thus, LCM of Fractions is 670555.Finally, LCM of Fractions for 205/609, 9813/156 is 670555.