Least Common Multiple of 9997/204, 5720/795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9997/204, 5720/795 quickly i.e. 4398680/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9997/204, 5720/795 is 4398680/3.

LCM(9997/204, 5720/795) = 4398680/3

LCM of 9997/204, 5720/795

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 9997/204,5720/795

Given numbers are 9997/204,5720/795

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 9997,5720

Least Common Multiple of Numerators i.e. LCM of 9997,5720 is 4398680.

GCF of Denominators means GCF of 204,795 as per the given fractions.

GCF of 204,795 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9997,5720

LCM of Fractions 9997/204,5720/795 is 4398680/3

13 9997, 5720
769, 440

∴ So the LCM of the given numbers is 13 x 769 x 440 = 4398680

Least Common Multiple of 9997,5720 with GCF Formula

Least Common Multiple of 9997,5720 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 9997,5720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9997,5720) = 13

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

GCF(9997,5720) x common factors =13 x 1 = 13

LCM(9997,5720) = ( 9997 × 5720 ) / 13

LCM(9997,5720) = 57182840 / 13

LCM(9997,5720) = 4398680


Lets's calculate GCF of 204,795

3 204, 795
68, 265

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4398680/3

Therefore the LCM of Fractions 9997/204,5720/795 is 4398680/3

Greatest Common Factor of 204,795 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,795 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Greatest Common Factor

We found the factors 204,795 . The biggest common factor number is the GCF number.
So the greatest common factor 204,795 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 9997/204, 5720/795

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 9997/204, 5720/795?

Answer: LCM of Numerators as per given numbers 9997/204, 5720/795 is

LCM of Numerators i.e. for 9997,5720 is 4398680

GCF of denominators i.e. for 204,795 is 3.

Thus, LCM of Fractions is 4398680/3.Finally, LCM of Fractions for 9997/204, 5720/795 is 4398680/3.