Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 510/843, 330/952, 663/283 quickly i.e. 72930 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 510/843, 330/952, 663/283 is 72930.
LCM(510/843, 330/952, 663/283) = 72930
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 510/843,330/952,663/283
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 510,330,663
Least Common Multiple of Numerators i.e. LCM of 510,330,663 is 72930.
GCF of Denominators means GCF of 843,952,283 as per the given fractions.
GCF of 843,952,283 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 510,330,663
2 | 510, 330, 663 |
3 | 255, 165, 663 |
5 | 85, 55, 221 |
17 | 17, 11, 221 |
1, 11, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 17 x 1 x 11 x 13 = 72930
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 510,330,663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,330,663) = 3
common factors(in case of two or more numbers have common factors) = 510
GCF(510,330,663) x common factors =3 x 510 = 1530
LCM(510,330,663) = ( 510 × 330 × 663 ) / 1530
LCM(510,330,663) = 111582900 / 1530
LCM(510,330,663) = 72930
Lets's calculate GCF of 843,952,283
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72930/1
Therefore the LCM of Fractions 510/843,330/952,663/283 is 72930
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Factors of 952
List of positive integer factors of 952 that divides 952 without a remainder.
1,2,4,7,8,14,17,28,34,56,68,119,136,238,476,952
Factors of 283
List of positive integer factors of 283 that divides 283 without a remainder.
1,283
Greatest Common Factor
We found the factors 843,952,283 . The biggest common factor number is the GCF number.
So the greatest common factor 843,952,283 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 510/843, 330/952, 663/283?
Answer: LCM of Numerators as per given numbers 510/843, 330/952, 663/283 is
LCM of Numerators i.e. for 510,330,663 is 72930
GCF of denominators i.e. for 843,952,283 is 1.
Thus, LCM of Fractions is 72930.Finally, LCM of Fractions for 510/843, 330/952, 663/283 is 72930.