Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 483/518, 558/976, 901/486 quickly i.e. 40472019 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 483/518, 558/976, 901/486 is 40472019.
LCM(483/518, 558/976, 901/486) = 40472019
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 483/518,558/976,901/486
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 483,558,901
Least Common Multiple of Numerators i.e. LCM of 483,558,901 is 80944038.
GCF of Denominators means GCF of 518,976,486 as per the given fractions.
GCF of 518,976,486 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 483,558,901
3 | 483, 558, 901 |
161, 186, 901 |
∴ So the LCM of the given numbers is 3 x 161 x 186 x 901 = 80944038
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 483,558,901 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(483,558,901) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(483,558,901) x common factors =1 x 3 = 3
LCM(483,558,901) = ( 483 × 558 × 901 ) / 3
LCM(483,558,901) = 242832114 / 3
LCM(483,558,901) = 80944038
Lets's calculate GCF of 518,976,486
2 | 518, 976, 486 |
259, 488, 243 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 80944038/2
Therefore the LCM of Fractions 483/518,558/976,901/486 is 40472019
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 486
List of positive integer factors of 486 that divides 486 without a remainder.
1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 518,976,486 . The biggest common factor number is the GCF number.
So the greatest common factor 518,976,486 is 2.
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 483/518, 558/976, 901/486?
Answer: LCM of Numerators as per given numbers 483/518, 558/976, 901/486 is
LCM of Numerators i.e. for 483,558,901 is 80944038
GCF of denominators i.e. for 518,976,486 is 2.
Thus, LCM of Fractions is 40472019.Finally, LCM of Fractions for 483/518, 558/976, 901/486 is 40472019.