Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 597/39, 447/4750 quickly i.e. 88953 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 597/39, 447/4750 is 88953.
LCM(597/39, 447/4750) = 88953
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 597/39,447/4750
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 597,447
Least Common Multiple of Numerators i.e. LCM of 597,447 is 88953.
GCF of Denominators means GCF of 39,4750 as per the given fractions.
GCF of 39,4750 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 597,447
3 | 597, 447 |
199, 149 |
∴ So the LCM of the given numbers is 3 x 199 x 149 = 88953
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 597,447 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,447) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(597,447) x common factors =3 x 1 = 3
LCM(597,447) = ( 597 × 447 ) / 3
LCM(597,447) = 266859 / 3
LCM(597,447) = 88953
Lets's calculate GCF of 39,4750
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 88953/1
Therefore the LCM of Fractions 597/39,447/4750 is 88953
Factors of 39
List of positive integer factors of 39 that divides 39 without a remainder.
1,3,13,39
Factors of 4750
List of positive integer factors of 4750 that divides 4750 without a remainder.
1,2,5,10,19,25,38,50,95,125,190,250,475,950,2375,4750
Greatest Common Factor
We found the factors 39,4750 . The biggest common factor number is the GCF number.
So the greatest common factor 39,4750 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 597/39, 447/4750?
Answer: LCM of Numerators as per given numbers 597/39, 447/4750 is
LCM of Numerators i.e. for 597,447 is 88953
GCF of denominators i.e. for 39,4750 is 1.
Thus, LCM of Fractions is 88953.Finally, LCM of Fractions for 597/39, 447/4750 is 88953.