Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7920/483, 6421/7995 quickly i.e. 16951440 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7920/483, 6421/7995 is 16951440.
LCM(7920/483, 6421/7995) = 16951440
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7920/483,6421/7995
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 7920,6421
Least Common Multiple of Numerators i.e. LCM of 7920,6421 is 50854320.
GCF of Denominators means GCF of 483,7995 as per the given fractions.
GCF of 483,7995 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7920,6421
Given numbers has no common factors except 1. So, there LCM is their product i.e 50854320
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 7920,6421 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7920,6421) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7920,6421) x common factors =1 x 1 = 1
LCM(7920,6421) = ( 7920 × 6421 ) / 1
LCM(7920,6421) = 50854320 / 1
LCM(7920,6421) = 50854320
Lets's calculate GCF of 483,7995
3 | 483, 7995 |
161, 2665 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50854320/3
Therefore the LCM of Fractions 7920/483,6421/7995 is 16951440
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 7995
List of positive integer factors of 7995 that divides 7995 without a remainder.
1,3,5,13,15,39,41,65,123,195,205,533,615,1599,2665,7995
Greatest Common Factor
We found the factors 483,7995 . The biggest common factor number is the GCF number.
So the greatest common factor 483,7995 is 3.
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 7920/483, 6421/7995?
Answer: LCM of Numerators as per given numbers 7920/483, 6421/7995 is
LCM of Numerators i.e. for 7920,6421 is 50854320
GCF of denominators i.e. for 483,7995 is 3.
Thus, LCM of Fractions is 16951440.Finally, LCM of Fractions for 7920/483, 6421/7995 is 16951440.