Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9515/846, 9954/806 quickly i.e. 47356155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9515/846, 9954/806 is 47356155.
LCM(9515/846, 9954/806) = 47356155
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9515/846,9954/806
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 9515,9954
Least Common Multiple of Numerators i.e. LCM of 9515,9954 is 94712310.
GCF of Denominators means GCF of 846,806 as per the given fractions.
GCF of 846,806 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9515,9954
Given numbers has no common factors except 1. So, there LCM is their product i.e 94712310
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 9515,9954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9515,9954) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9515,9954) x common factors =1 x 1 = 1
LCM(9515,9954) = ( 9515 × 9954 ) / 1
LCM(9515,9954) = 94712310 / 1
LCM(9515,9954) = 94712310
Lets's calculate GCF of 846,806
2 | 846, 806 |
423, 403 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94712310/2
Therefore the LCM of Fractions 9515/846,9954/806 is 47356155
Factors of 846
List of positive integer factors of 846 that divides 846 without a remainder.
1,2,3,6,9,18,47,94,141,282,423,846
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 846,806 . The biggest common factor number is the GCF number.
So the greatest common factor 846,806 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 9515/846, 9954/806?
Answer: LCM of Numerators as per given numbers 9515/846, 9954/806 is
LCM of Numerators i.e. for 9515,9954 is 94712310
GCF of denominators i.e. for 846,806 is 2.
Thus, LCM of Fractions is 47356155.Finally, LCM of Fractions for 9515/846, 9954/806 is 47356155.