Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9518/972, 3107/9159 quickly i.e. 29572426/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9518/972, 3107/9159 is 29572426/3.
LCM(9518/972, 3107/9159) = 29572426/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9518/972,3107/9159
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 9518,3107
Least Common Multiple of Numerators i.e. LCM of 9518,3107 is 29572426.
GCF of Denominators means GCF of 972,9159 as per the given fractions.
GCF of 972,9159 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9518,3107
Given numbers has no common factors except 1. So, there LCM is their product i.e 29572426
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 9518,3107 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9518,3107) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9518,3107) x common factors =1 x 1 = 1
LCM(9518,3107) = ( 9518 × 3107 ) / 1
LCM(9518,3107) = 29572426 / 1
LCM(9518,3107) = 29572426
Lets's calculate GCF of 972,9159
3 | 972, 9159 |
324, 3053 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29572426/3
Therefore the LCM of Fractions 9518/972,3107/9159 is 29572426/3
Factors of 972
List of positive integer factors of 972 that divides 972 without a remainder.
1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972
Factors of 9159
List of positive integer factors of 9159 that divides 9159 without a remainder.
1,3,43,71,129,213,3053,9159
Greatest Common Factor
We found the factors 972,9159 . The biggest common factor number is the GCF number.
So the greatest common factor 972,9159 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 9518/972, 3107/9159?
Answer: LCM of Numerators as per given numbers 9518/972, 3107/9159 is
LCM of Numerators i.e. for 9518,3107 is 29572426
GCF of denominators i.e. for 972,9159 is 3.
Thus, LCM of Fractions is 29572426/3.Finally, LCM of Fractions for 9518/972, 3107/9159 is 29572426/3.