Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9698/669, 4173/243 quickly i.e. 1037686 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9698/669, 4173/243 is 1037686.
LCM(9698/669, 4173/243) = 1037686
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9698/669,4173/243
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 9698,4173
Least Common Multiple of Numerators i.e. LCM of 9698,4173 is 3113058.
GCF of Denominators means GCF of 669,243 as per the given fractions.
GCF of 669,243 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9698,4173
13 | 9698, 4173 |
746, 321 |
∴ So the LCM of the given numbers is 13 x 746 x 321 = 3113058
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 9698,4173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9698,4173) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(9698,4173) x common factors =13 x 1 = 13
LCM(9698,4173) = ( 9698 × 4173 ) / 13
LCM(9698,4173) = 40469754 / 13
LCM(9698,4173) = 3113058
Lets's calculate GCF of 669,243
3 | 669, 243 |
223, 81 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3113058/3
Therefore the LCM of Fractions 9698/669,4173/243 is 1037686
Factors of 669
List of positive integer factors of 669 that divides 669 without a remainder.
1,3,223,669
Factors of 243
List of positive integer factors of 243 that divides 243 without a remainder.
1,3,9,27,81,243
Greatest Common Factor
We found the factors 669,243 . The biggest common factor number is the GCF number.
So the greatest common factor 669,243 is 3.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 9698/669, 4173/243?
Answer: LCM of Numerators as per given numbers 9698/669, 4173/243 is
LCM of Numerators i.e. for 9698,4173 is 3113058
GCF of denominators i.e. for 669,243 is 3.
Thus, LCM of Fractions is 1037686.Finally, LCM of Fractions for 9698/669, 4173/243 is 1037686.