Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 622/85, 637/3075 quickly i.e. 396214/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 622/85, 637/3075 is 396214/5.
LCM(622/85, 637/3075) = 396214/5
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 622/85,637/3075
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 622,637
Least Common Multiple of Numerators i.e. LCM of 622,637 is 396214.
GCF of Denominators means GCF of 85,3075 as per the given fractions.
GCF of 85,3075 is 5 as it is the largest common factor for these numbers.
Lets's calculate LCM of 622,637
Given numbers has no common factors except 1. So, there LCM is their product i.e 396214
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 622,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(622,637) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(622,637) x common factors =1 x 1 = 1
LCM(622,637) = ( 622 × 637 ) / 1
LCM(622,637) = 396214 / 1
LCM(622,637) = 396214
Lets's calculate GCF of 85,3075
5 | 85, 3075 |
17, 615 |
∴ So the GCF of the given numbers is 5 = 5
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 396214/5
Therefore the LCM of Fractions 622/85,637/3075 is 396214/5
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 3075
List of positive integer factors of 3075 that divides 3075 without a remainder.
1,3,5,15,25,41,75,123,205,615,1025,3075
Greatest Common Factor
We found the factors 85,3075 . The biggest common factor number is the GCF number.
So the greatest common factor 85,3075 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 622/85, 637/3075?
Answer: LCM of Numerators as per given numbers 622/85, 637/3075 is
LCM of Numerators i.e. for 622,637 is 396214
GCF of denominators i.e. for 85,3075 is 5.
Thus, LCM of Fractions is 396214/5.Finally, LCM of Fractions for 622/85, 637/3075 is 396214/5.