Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 73/303, 854/517, 460/426 quickly i.e. 14338660 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 73/303, 854/517, 460/426 is 14338660.
LCM(73/303, 854/517, 460/426) = 14338660
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 73/303,854/517,460/426
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 73,854,460
Least Common Multiple of Numerators i.e. LCM of 73,854,460 is 14338660.
GCF of Denominators means GCF of 303,517,426 as per the given fractions.
GCF of 303,517,426 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 73,854,460
2 | 73, 854, 460 |
73, 427, 230 |
∴ So the LCM of the given numbers is 2 x 73 x 427 x 230 = 14338660
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 73,854,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,854,460) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(73,854,460) x common factors =1 x 2 = 2
LCM(73,854,460) = ( 73 × 854 × 460 ) / 2
LCM(73,854,460) = 28677320 / 2
LCM(73,854,460) = 14338660
Lets's calculate GCF of 303,517,426
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14338660/1
Therefore the LCM of Fractions 73/303,854/517,460/426 is 14338660
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Factors of 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Factors of 426
List of positive integer factors of 426 that divides 426 without a remainder.
1,2,3,6,71,142,213,426
Greatest Common Factor
We found the factors 303,517,426 . The biggest common factor number is the GCF number.
So the greatest common factor 303,517,426 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 73/303, 854/517, 460/426?
Answer: LCM of Numerators as per given numbers 73/303, 854/517, 460/426 is
LCM of Numerators i.e. for 73,854,460 is 14338660
GCF of denominators i.e. for 303,517,426 is 1.
Thus, LCM of Fractions is 14338660.Finally, LCM of Fractions for 73/303, 854/517, 460/426 is 14338660.