Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 631/68, 9604/806 quickly i.e. 3030062 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 631/68, 9604/806 is 3030062.
LCM(631/68, 9604/806) = 3030062
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 631/68,9604/806
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 631,9604
Least Common Multiple of Numerators i.e. LCM of 631,9604 is 6060124.
GCF of Denominators means GCF of 68,806 as per the given fractions.
GCF of 68,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 631,9604
Given numbers has no common factors except 1. So, there LCM is their product i.e 6060124
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 631,9604 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,9604) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(631,9604) x common factors =1 x 1 = 1
LCM(631,9604) = ( 631 × 9604 ) / 1
LCM(631,9604) = 6060124 / 1
LCM(631,9604) = 6060124
Lets's calculate GCF of 68,806
2 | 68, 806 |
34, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6060124/2
Therefore the LCM of Fractions 631/68,9604/806 is 3030062
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 806
List of positive integer factors of 806 that divides 806 without a remainder.
1,2,13,26,31,62,403,806
Greatest Common Factor
We found the factors 68,806 . The biggest common factor number is the GCF number.
So the greatest common factor 68,806 is 2.
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 631/68, 9604/806?
Answer: LCM of Numerators as per given numbers 631/68, 9604/806 is
LCM of Numerators i.e. for 631,9604 is 6060124
GCF of denominators i.e. for 68,806 is 2.
Thus, LCM of Fractions is 3030062.Finally, LCM of Fractions for 631/68, 9604/806 is 3030062.