Least Common Multiple of 81/504, 99/906
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/504, 99/906 quickly i.e. 891/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/504, 99/906 is 891/6.
LCM(81/504, 99/906) = 891/6
LCM of 81/504, 99/906
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/504,99/906
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 81,99
Least Common Multiple of Numerators i.e. LCM of 81,99 is 891.
GCF of Denominators means GCF of 504,906 as per the given fractions.
GCF of 504,906 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,99
LCM of Fractions 81/504,99/906 is 891/6
| 3 | 81, 99 |
| 3 | 27, 33 |
| 9, 11 |
∴ So the LCM of the given numbers is 3 x 3 x 9 x 11 = 891
Least Common Multiple of 81,99 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 81,99 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,99) = 9
common factors(in case of two or more numbers have common factors) = 1
GCF(81,99) x common factors =9 x 1 = 9
LCM(81,99) = ( 81 × 99 ) / 9
LCM(81,99) = 8019 / 9
LCM(81,99) = 891
Lets's calculate GCF of 504,906
| 2 | 504, 906 |
| 3 | 252, 453 |
| 84, 151 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 891/6
Therefore the LCM of Fractions 81/504,99/906 is 891/6