Least Common Multiple of 9673/795, 2004/2117

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 9673/795, 2004/2117 quickly i.e. 19384692 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9673/795, 2004/2117 is 19384692.

LCM(9673/795, 2004/2117) = 19384692

LCM of 9673/795, 2004/2117

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 9673/795,2004/2117

Given numbers are 9673/795,2004/2117

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 9673,2004

Least Common Multiple of Numerators i.e. LCM of 9673,2004 is 19384692.

GCF of Denominators means GCF of 795,2117 as per the given fractions.

GCF of 795,2117 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9673,2004

LCM of Fractions 9673/795,2004/2117 is 19384692

Given numbers has no common factors except 1. So, there LCM is their product i.e 19384692

Least Common Multiple of 9673,2004 with GCF Formula

Least Common Multiple of 9673,2004 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 9673,2004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9673,2004) = 1

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

GCF(9673,2004) x common factors =1 x 1 = 1

LCM(9673,2004) = ( 9673 × 2004 ) / 1

LCM(9673,2004) = 19384692 / 1

LCM(9673,2004) = 19384692


Lets's calculate GCF of 795,2117

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19384692/1

Therefore the LCM of Fractions 9673/795,2004/2117 is 19384692

Greatest Common Factor of 795,2117 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,2117 By Matching Biggest Common Factor Method

Factors of 795

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

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

Factors of 2117

List of positive integer factors of 2117 that divides 2117 without a remainder.

1,29,73,2117

Greatest Common Factor

We found the factors 795,2117 . The biggest common factor number is the GCF number.
So the greatest common factor 795,2117 is 1.


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 9673/795, 2004/2117

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 9673/795, 2004/2117?

Answer: LCM of Numerators as per given numbers 9673/795, 2004/2117 is

LCM of Numerators i.e. for 9673,2004 is 19384692

GCF of denominators i.e. for 795,2117 is 1.

Thus, LCM of Fractions is 19384692.Finally, LCM of Fractions for 9673/795, 2004/2117 is 19384692.