Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9750/265, 9389/625 quickly i.e. 18308550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9750/265, 9389/625 is 18308550.
LCM(9750/265, 9389/625) = 18308550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9750/265,9389/625
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 9750,9389
Least Common Multiple of Numerators i.e. LCM of 9750,9389 is 91542750.
GCF of Denominators means GCF of 265,625 as per the given fractions.
GCF of 265,625 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9750,9389
Given numbers has no common factors except 1. So, there LCM is their product i.e 91542750
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 9750,9389 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9750,9389) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9750,9389) x common factors =1 x 1 = 1
LCM(9750,9389) = ( 9750 × 9389 ) / 1
LCM(9750,9389) = 91542750 / 1
LCM(9750,9389) = 91542750
Lets's calculate GCF of 265,625
5 | 265, 625 |
53, 125 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91542750/5
Therefore the LCM of Fractions 9750/265,9389/625 is 18308550
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Greatest Common Factor
We found the factors 265,625 . The biggest common factor number is the GCF number.
So the greatest common factor 265,625 is 5.
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 9750/265, 9389/625?
Answer: LCM of Numerators as per given numbers 9750/265, 9389/625 is
LCM of Numerators i.e. for 9750,9389 is 91542750
GCF of denominators i.e. for 265,625 is 5.
Thus, LCM of Fractions is 18308550.Finally, LCM of Fractions for 9750/265, 9389/625 is 18308550.