Least Common Multiple of 82/216, 73/766
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 82/216, 73/766 quickly i.e. 2993 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 82/216, 73/766 is 2993.
LCM(82/216, 73/766) = 2993
LCM of 82/216, 73/766
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 82/216,73/766
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 82,73
Least Common Multiple of Numerators i.e. LCM of 82,73 is 5986.
GCF of Denominators means GCF of 216,766 as per the given fractions.
GCF of 216,766 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 82,73
LCM of Fractions 82/216,73/766 is 2993
Given numbers has no common factors except 1. So, there LCM is their product i.e 5986
Least Common Multiple of 82,73 with GCF Formula
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 82,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(82,73) x common factors =1 x 1 = 1
LCM(82,73) = ( 82 × 73 ) / 1
LCM(82,73) = 5986 / 1
LCM(82,73) = 5986
Lets's calculate GCF of 216,766
| 2 | 216, 766 |
| 108, 383 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5986/2
Therefore the LCM of Fractions 82/216,73/766 is 2993