Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7247/695, 1637/1315 quickly i.e. 11863339/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7247/695, 1637/1315 is 11863339/5.
LCM(7247/695, 1637/1315) = 11863339/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7247/695,1637/1315
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 7247,1637
Least Common Multiple of Numerators i.e. LCM of 7247,1637 is 11863339.
GCF of Denominators means GCF of 695,1315 as per the given fractions.
GCF of 695,1315 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7247,1637
Given numbers has no common factors except 1. So, there LCM is their product i.e 11863339
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 7247,1637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7247,1637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7247,1637) x common factors =1 x 1 = 1
LCM(7247,1637) = ( 7247 × 1637 ) / 1
LCM(7247,1637) = 11863339 / 1
LCM(7247,1637) = 11863339
Lets's calculate GCF of 695,1315
5 | 695, 1315 |
139, 263 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11863339/5
Therefore the LCM of Fractions 7247/695,1637/1315 is 11863339/5
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 1315
List of positive integer factors of 1315 that divides 1315 without a remainder.
1,5,263,1315
Greatest Common Factor
We found the factors 695,1315 . The biggest common factor number is the GCF number.
So the greatest common factor 695,1315 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 7247/695, 1637/1315?
Answer: LCM of Numerators as per given numbers 7247/695, 1637/1315 is
LCM of Numerators i.e. for 7247,1637 is 11863339
GCF of denominators i.e. for 695,1315 is 5.
Thus, LCM of Fractions is 11863339/5.Finally, LCM of Fractions for 7247/695, 1637/1315 is 11863339/5.