Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7015/318, 8215/9845 quickly i.e. 11525645 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7015/318, 8215/9845 is 11525645.
LCM(7015/318, 8215/9845) = 11525645
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7015/318,8215/9845
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 7015,8215
Least Common Multiple of Numerators i.e. LCM of 7015,8215 is 11525645.
GCF of Denominators means GCF of 318,9845 as per the given fractions.
GCF of 318,9845 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7015,8215
5 | 7015, 8215 |
1403, 1643 |
∴ So the LCM of the given numbers is 5 x 1403 x 1643 = 11525645
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 7015,8215 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7015,8215) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(7015,8215) x common factors =5 x 1 = 5
LCM(7015,8215) = ( 7015 × 8215 ) / 5
LCM(7015,8215) = 57628225 / 5
LCM(7015,8215) = 11525645
Lets's calculate GCF of 318,9845
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11525645/1
Therefore the LCM of Fractions 7015/318,8215/9845 is 11525645
Factors of 318
List of positive integer factors of 318 that divides 318 without a remainder.
1,2,3,6,53,106,159,318
Factors of 9845
List of positive integer factors of 9845 that divides 9845 without a remainder.
1,5,11,55,179,895,1969,9845
Greatest Common Factor
We found the factors 318,9845 . The biggest common factor number is the GCF number.
So the greatest common factor 318,9845 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 7015/318, 8215/9845?
Answer: LCM of Numerators as per given numbers 7015/318, 8215/9845 is
LCM of Numerators i.e. for 7015,8215 is 11525645
GCF of denominators i.e. for 318,9845 is 1.
Thus, LCM of Fractions is 11525645.Finally, LCM of Fractions for 7015/318, 8215/9845 is 11525645.