Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3085/607, 9588/575 quickly i.e. 29578980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3085/607, 9588/575 is 29578980.
LCM(3085/607, 9588/575) = 29578980
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3085/607,9588/575
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 3085,9588
Least Common Multiple of Numerators i.e. LCM of 3085,9588 is 29578980.
GCF of Denominators means GCF of 607,575 as per the given fractions.
GCF of 607,575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3085,9588
Given numbers has no common factors except 1. So, there LCM is their product i.e 29578980
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 3085,9588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3085,9588) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3085,9588) x common factors =1 x 1 = 1
LCM(3085,9588) = ( 3085 × 9588 ) / 1
LCM(3085,9588) = 29578980 / 1
LCM(3085,9588) = 29578980
Lets's calculate GCF of 607,575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29578980/1
Therefore the LCM of Fractions 3085/607,9588/575 is 29578980
Factors of 607
List of positive integer factors of 607 that divides 607 without a remainder.
1,607
Factors of 575
List of positive integer factors of 575 that divides 575 without a remainder.
1,5,23,25,115,575
Greatest Common Factor
We found the factors 607,575 . The biggest common factor number is the GCF number.
So the greatest common factor 607,575 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 3085/607, 9588/575?
Answer: LCM of Numerators as per given numbers 3085/607, 9588/575 is
LCM of Numerators i.e. for 3085,9588 is 29578980
GCF of denominators i.e. for 607,575 is 1.
Thus, LCM of Fractions is 29578980.Finally, LCM of Fractions for 3085/607, 9588/575 is 29578980.