Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/483, 958/63, 669/915 quickly i.e. 6195386 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/483, 958/63, 669/915 is 6195386.
LCM(87/483, 958/63, 669/915) = 6195386
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/483,958/63,669/915
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 87,958,669
Least Common Multiple of Numerators i.e. LCM of 87,958,669 is 18586158.
GCF of Denominators means GCF of 483,63,915 as per the given fractions.
GCF of 483,63,915 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,958,669
3 | 87, 958, 669 |
29, 958, 223 |
∴ So the LCM of the given numbers is 3 x 29 x 958 x 223 = 18586158
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 87,958,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,958,669) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(87,958,669) x common factors =1 x 3 = 3
LCM(87,958,669) = ( 87 × 958 × 669 ) / 3
LCM(87,958,669) = 55758474 / 3
LCM(87,958,669) = 18586158
Lets's calculate GCF of 483,63,915
3 | 483, 63, 915 |
161, 21, 305 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18586158/3
Therefore the LCM of Fractions 87/483,958/63,669/915 is 6195386
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 63
List of positive integer factors of 63 that divides 63 without a remainder.
1,3,7,9,21,63
Factors of 915
List of positive integer factors of 915 that divides 915 without a remainder.
1,3,5,15,61,183,305,915
Greatest Common Factor
We found the factors 483,63,915 . The biggest common factor number is the GCF number.
So the greatest common factor 483,63,915 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 87/483, 958/63, 669/915?
Answer: LCM of Numerators as per given numbers 87/483, 958/63, 669/915 is
LCM of Numerators i.e. for 87,958,669 is 18586158
GCF of denominators i.e. for 483,63,915 is 3.
Thus, LCM of Fractions is 6195386.Finally, LCM of Fractions for 87/483, 958/63, 669/915 is 6195386.