Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7307/390, 9457/9456 quickly i.e. 69102299/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7307/390, 9457/9456 is 69102299/6.
LCM(7307/390, 9457/9456) = 69102299/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7307/390,9457/9456
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 7307,9457
Least Common Multiple of Numerators i.e. LCM of 7307,9457 is 69102299.
GCF of Denominators means GCF of 390,9456 as per the given fractions.
GCF of 390,9456 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7307,9457
Given numbers has no common factors except 1. So, there LCM is their product i.e 69102299
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 7307,9457 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7307,9457) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7307,9457) x common factors =1 x 1 = 1
LCM(7307,9457) = ( 7307 × 9457 ) / 1
LCM(7307,9457) = 69102299 / 1
LCM(7307,9457) = 69102299
Lets's calculate GCF of 390,9456
2 | 390, 9456 |
3 | 195, 4728 |
65, 1576 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69102299/6
Therefore the LCM of Fractions 7307/390,9457/9456 is 69102299/6
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390
Factors of 9456
List of positive integer factors of 9456 that divides 9456 without a remainder.
1,2,3,4,6,8,12,16,24,48,197,394,591,788,1182,1576,2364,3152,4728,9456
Greatest Common Factor
We found the factors 390,9456 . The biggest common factor number is the GCF number.
So the greatest common factor 390,9456 is 6.
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 7307/390, 9457/9456?
Answer: LCM of Numerators as per given numbers 7307/390, 9457/9456 is
LCM of Numerators i.e. for 7307,9457 is 69102299
GCF of denominators i.e. for 390,9456 is 6.
Thus, LCM of Fractions is 69102299/6.Finally, LCM of Fractions for 7307/390, 9457/9456 is 69102299/6.