Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 913/91, 2464/987 quickly i.e. 29216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 913/91, 2464/987 is 29216.
LCM(913/91, 2464/987) = 29216
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 913/91,2464/987
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 913,2464
Least Common Multiple of Numerators i.e. LCM of 913,2464 is 204512.
GCF of Denominators means GCF of 91,987 as per the given fractions.
GCF of 91,987 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 913,2464
11 | 913, 2464 |
83, 224 |
∴ So the LCM of the given numbers is 11 x 83 x 224 = 204512
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 913,2464 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,2464) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(913,2464) x common factors =11 x 1 = 11
LCM(913,2464) = ( 913 × 2464 ) / 11
LCM(913,2464) = 2249632 / 11
LCM(913,2464) = 204512
Lets's calculate GCF of 91,987
7 | 91, 987 |
13, 141 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204512/7
Therefore the LCM of Fractions 913/91,2464/987 is 29216
Factors of 91
List of positive integer factors of 91 that divides 91 without a remainder.
1,7,13,91
Factors of 987
List of positive integer factors of 987 that divides 987 without a remainder.
1,3,7,21,47,141,329,987
Greatest Common Factor
We found the factors 91,987 . The biggest common factor number is the GCF number.
So the greatest common factor 91,987 is 7.
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 913/91, 2464/987?
Answer: LCM of Numerators as per given numbers 913/91, 2464/987 is
LCM of Numerators i.e. for 913,2464 is 204512
GCF of denominators i.e. for 91,987 is 7.
Thus, LCM of Fractions is 29216.Finally, LCM of Fractions for 913/91, 2464/987 is 29216.