Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9078/916, 9768/146 quickly i.e. 7389492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9078/916, 9768/146 is 7389492.
LCM(9078/916, 9768/146) = 7389492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9078/916,9768/146
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 9078,9768
Least Common Multiple of Numerators i.e. LCM of 9078,9768 is 14778984.
GCF of Denominators means GCF of 916,146 as per the given fractions.
GCF of 916,146 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9078,9768
2 | 9078, 9768 |
3 | 4539, 4884 |
1513, 1628 |
∴ So the LCM of the given numbers is 2 x 3 x 1513 x 1628 = 14778984
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 9078,9768 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9078,9768) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(9078,9768) x common factors =6 x 1 = 6
LCM(9078,9768) = ( 9078 × 9768 ) / 6
LCM(9078,9768) = 88673904 / 6
LCM(9078,9768) = 14778984
Lets's calculate GCF of 916,146
2 | 916, 146 |
458, 73 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14778984/2
Therefore the LCM of Fractions 9078/916,9768/146 is 7389492
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Greatest Common Factor
We found the factors 916,146 . The biggest common factor number is the GCF number.
So the greatest common factor 916,146 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 9078/916, 9768/146?
Answer: LCM of Numerators as per given numbers 9078/916, 9768/146 is
LCM of Numerators i.e. for 9078,9768 is 14778984
GCF of denominators i.e. for 916,146 is 2.
Thus, LCM of Fractions is 7389492.Finally, LCM of Fractions for 9078/916, 9768/146 is 7389492.