Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 325/98, 591/6250 quickly i.e. 192075/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 325/98, 591/6250 is 192075/2.
LCM(325/98, 591/6250) = 192075/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 325/98,591/6250
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 325,591
Least Common Multiple of Numerators i.e. LCM of 325,591 is 192075.
GCF of Denominators means GCF of 98,6250 as per the given fractions.
GCF of 98,6250 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 325,591
Given numbers has no common factors except 1. So, there LCM is their product i.e 192075
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 325,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,591) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(325,591) x common factors =1 x 1 = 1
LCM(325,591) = ( 325 × 591 ) / 1
LCM(325,591) = 192075 / 1
LCM(325,591) = 192075
Lets's calculate GCF of 98,6250
2 | 98, 6250 |
49, 3125 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192075/2
Therefore the LCM of Fractions 325/98,591/6250 is 192075/2
Factors of 98
List of positive integer factors of 98 that divides 98 without a remainder.
1,2,7,14,49,98
Factors of 6250
List of positive integer factors of 6250 that divides 6250 without a remainder.
1,2,5,10,25,50,125,250,625,1250,3125,6250
Greatest Common Factor
We found the factors 98,6250 . The biggest common factor number is the GCF number.
So the greatest common factor 98,6250 is 2.
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 325/98, 591/6250?
Answer: LCM of Numerators as per given numbers 325/98, 591/6250 is
LCM of Numerators i.e. for 325,591 is 192075
GCF of denominators i.e. for 98,6250 is 2.
Thus, LCM of Fractions is 192075/2.Finally, LCM of Fractions for 325/98, 591/6250 is 192075/2.