Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 63/483, 3034/7981 quickly i.e. 191142/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 63/483, 3034/7981 is 191142/23.
LCM(63/483, 3034/7981) = 191142/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 63/483,3034/7981
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 63,3034
Least Common Multiple of Numerators i.e. LCM of 63,3034 is 191142.
GCF of Denominators means GCF of 483,7981 as per the given fractions.
GCF of 483,7981 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 63,3034
Given numbers has no common factors except 1. So, there LCM is their product i.e 191142
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 63,3034 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(63,3034) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(63,3034) x common factors =1 x 1 = 1
LCM(63,3034) = ( 63 × 3034 ) / 1
LCM(63,3034) = 191142 / 1
LCM(63,3034) = 191142
Lets's calculate GCF of 483,7981
23 | 483, 7981 |
21, 347 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 191142/23
Therefore the LCM of Fractions 63/483,3034/7981 is 191142/23
Factors of 483
List of positive integer factors of 483 that divides 483 without a remainder.
1,3,7,21,23,69,161,483
Factors of 7981
List of positive integer factors of 7981 that divides 7981 without a remainder.
1,23,347,7981
Greatest Common Factor
We found the factors 483,7981 . The biggest common factor number is the GCF number.
So the greatest common factor 483,7981 is 23.
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 63/483, 3034/7981?
Answer: LCM of Numerators as per given numbers 63/483, 3034/7981 is
LCM of Numerators i.e. for 63,3034 is 191142
GCF of denominators i.e. for 483,7981 is 23.
Thus, LCM of Fractions is 191142/23.Finally, LCM of Fractions for 63/483, 3034/7981 is 191142/23.