Least Common Multiple of 22/99, 14/84, 69/331
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 22/99, 14/84, 69/331 quickly i.e. 10626 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 22/99, 14/84, 69/331 is 10626.
LCM(22/99, 14/84, 69/331) = 10626
LCM of 22/99, 14/84, 69/331
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 22/99,14/84,69/331
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 22,14,69
Least Common Multiple of Numerators i.e. LCM of 22,14,69 is 10626.
GCF of Denominators means GCF of 99,84,331 as per the given fractions.
GCF of 99,84,331 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 22,14,69
LCM of Fractions 22/99,14/84,69/331 is 10626
| 2 | 22, 14, 69 |
| 11, 7, 69 |
∴ So the LCM of the given numbers is 2 x 11 x 7 x 69 = 10626
Least Common Multiple of 22,14,69 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 22,14,69 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(22,14,69) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(22,14,69) x common factors =1 x 2 = 2
LCM(22,14,69) = ( 22 × 14 × 69 ) / 2
LCM(22,14,69) = 21252 / 2
LCM(22,14,69) = 10626
Lets's calculate GCF of 99,84,331
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10626/1
Therefore the LCM of Fractions 22/99,14/84,69/331 is 10626