Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 639/958, 1446/4989 quickly i.e. 307998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 639/958, 1446/4989 is 307998.
LCM(639/958, 1446/4989) = 307998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 639/958,1446/4989
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 639,1446
Least Common Multiple of Numerators i.e. LCM of 639,1446 is 307998.
GCF of Denominators means GCF of 958,4989 as per the given fractions.
GCF of 958,4989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 639,1446
3 | 639, 1446 |
213, 482 |
∴ So the LCM of the given numbers is 3 x 213 x 482 = 307998
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 639,1446 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(639,1446) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(639,1446) x common factors =3 x 1 = 3
LCM(639,1446) = ( 639 × 1446 ) / 3
LCM(639,1446) = 923994 / 3
LCM(639,1446) = 307998
Lets's calculate GCF of 958,4989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307998/1
Therefore the LCM of Fractions 639/958,1446/4989 is 307998
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 4989
List of positive integer factors of 4989 that divides 4989 without a remainder.
1,3,1663,4989
Greatest Common Factor
We found the factors 958,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 958,4989 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 639/958, 1446/4989?
Answer: LCM of Numerators as per given numbers 639/958, 1446/4989 is
LCM of Numerators i.e. for 639,1446 is 307998
GCF of denominators i.e. for 958,4989 is 1.
Thus, LCM of Fractions is 307998.Finally, LCM of Fractions for 639/958, 1446/4989 is 307998.