Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 59/753, 517/625, 850/325 quickly i.e. 25927550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 59/753, 517/625, 850/325 is 25927550.
LCM(59/753, 517/625, 850/325) = 25927550
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 59/753,517/625,850/325
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 59,517,850
Least Common Multiple of Numerators i.e. LCM of 59,517,850 is 25927550.
GCF of Denominators means GCF of 753,625,325 as per the given fractions.
GCF of 753,625,325 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 59,517,850
Given numbers has no common factors except 1. So, there LCM is their product i.e 25927550
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 59,517,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(59,517,850) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(59,517,850) x common factors =1 x 1 = 1
LCM(59,517,850) = ( 59 × 517 × 850 ) / 1
LCM(59,517,850) = 25927550 / 1
LCM(59,517,850) = 25927550
Lets's calculate GCF of 753,625,325
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25927550/1
Therefore the LCM of Fractions 59/753,517/625,850/325 is 25927550
Factors of 753
List of positive integer factors of 753 that divides 753 without a remainder.
1,3,251,753
Factors of 625
List of positive integer factors of 625 that divides 625 without a remainder.
1,5,25,125,625
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Greatest Common Factor
We found the factors 753,625,325 . The biggest common factor number is the GCF number.
So the greatest common factor 753,625,325 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 59/753, 517/625, 850/325?
Answer: LCM of Numerators as per given numbers 59/753, 517/625, 850/325 is
LCM of Numerators i.e. for 59,517,850 is 25927550
GCF of denominators i.e. for 753,625,325 is 1.
Thus, LCM of Fractions is 25927550.Finally, LCM of Fractions for 59/753, 517/625, 850/325 is 25927550.