Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9545/146, 7225/799 quickly i.e. 13792525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9545/146, 7225/799 is 13792525.
LCM(9545/146, 7225/799) = 13792525
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9545/146,7225/799
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 9545,7225
Least Common Multiple of Numerators i.e. LCM of 9545,7225 is 13792525.
GCF of Denominators means GCF of 146,799 as per the given fractions.
GCF of 146,799 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9545,7225
5 | 9545, 7225 |
1909, 1445 |
∴ So the LCM of the given numbers is 5 x 1909 x 1445 = 13792525
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 9545,7225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9545,7225) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(9545,7225) x common factors =5 x 1 = 5
LCM(9545,7225) = ( 9545 × 7225 ) / 5
LCM(9545,7225) = 68962625 / 5
LCM(9545,7225) = 13792525
Lets's calculate GCF of 146,799
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13792525/1
Therefore the LCM of Fractions 9545/146,7225/799 is 13792525
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 799
List of positive integer factors of 799 that divides 799 without a remainder.
1,17,47,799
Greatest Common Factor
We found the factors 146,799 . The biggest common factor number is the GCF number.
So the greatest common factor 146,799 is 1.
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 9545/146, 7225/799?
Answer: LCM of Numerators as per given numbers 9545/146, 7225/799 is
LCM of Numerators i.e. for 9545,7225 is 13792525
GCF of denominators i.e. for 146,799 is 1.
Thus, LCM of Fractions is 13792525.Finally, LCM of Fractions for 9545/146, 7225/799 is 13792525.