Least Common Multiple of 205/33, 709/9621

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/33, 709/9621 quickly i.e. 145345/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/33, 709/9621 is 145345/3.

LCM(205/33, 709/9621) = 145345/3

LCM of 205/33, 709/9621

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 205/33,709/9621

Given numbers are 205/33,709/9621

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 205,709

Least Common Multiple of Numerators i.e. LCM of 205,709 is 145345.

GCF of Denominators means GCF of 33,9621 as per the given fractions.

GCF of 33,9621 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,709

LCM of Fractions 205/33,709/9621 is 145345/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 145345

Least Common Multiple of 205,709 with GCF Formula

Least Common Multiple of 205,709 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 205,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,709) = 1

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

GCF(205,709) x common factors =1 x 1 = 1

LCM(205,709) = ( 205 × 709 ) / 1

LCM(205,709) = 145345 / 1

LCM(205,709) = 145345


Lets's calculate GCF of 33,9621

3 33, 9621
11, 3207

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145345/3

Therefore the LCM of Fractions 205/33,709/9621 is 145345/3

Greatest Common Factor of 33,9621 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,9621 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 9621

List of positive integer factors of 9621 that divides 9621 without a remainder.

1,3,9,1069,3207,9621

Greatest Common Factor

We found the factors 33,9621 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9621 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 205/33, 709/9621

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 205/33, 709/9621?

Answer: LCM of Numerators as per given numbers 205/33, 709/9621 is

LCM of Numerators i.e. for 205,709 is 145345

GCF of denominators i.e. for 33,9621 is 3.

Thus, LCM of Fractions is 145345/3.Finally, LCM of Fractions for 205/33, 709/9621 is 145345/3.