Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 637/37, 135/8215 quickly i.e. 85995 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 637/37, 135/8215 is 85995.
LCM(637/37, 135/8215) = 85995
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 637/37,135/8215
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 637,135
Least Common Multiple of Numerators i.e. LCM of 637,135 is 85995.
GCF of Denominators means GCF of 37,8215 as per the given fractions.
GCF of 37,8215 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 637,135
Given numbers has no common factors except 1. So, there LCM is their product i.e 85995
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 637,135 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(637,135) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(637,135) x common factors =1 x 1 = 1
LCM(637,135) = ( 637 × 135 ) / 1
LCM(637,135) = 85995 / 1
LCM(637,135) = 85995
Lets's calculate GCF of 37,8215
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85995/1
Therefore the LCM of Fractions 637/37,135/8215 is 85995
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 8215
List of positive integer factors of 8215 that divides 8215 without a remainder.
1,5,31,53,155,265,1643,8215
Greatest Common Factor
We found the factors 37,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 37,8215 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 637/37, 135/8215?
Answer: LCM of Numerators as per given numbers 637/37, 135/8215 is
LCM of Numerators i.e. for 637,135 is 85995
GCF of denominators i.e. for 37,8215 is 1.
Thus, LCM of Fractions is 85995.Finally, LCM of Fractions for 637/37, 135/8215 is 85995.