Least Common Multiple of 198/87, 2095/561
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 198/87, 2095/561 quickly i.e. 138270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 198/87, 2095/561 is 138270.
LCM(198/87, 2095/561) = 138270
LCM of 198/87, 2095/561
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 198/87,2095/561
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 198,2095
Least Common Multiple of Numerators i.e. LCM of 198,2095 is 414810.
GCF of Denominators means GCF of 87,561 as per the given fractions.
GCF of 87,561 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 198,2095
LCM of Fractions 198/87,2095/561 is 138270
Given numbers has no common factors except 1. So, there LCM is their product i.e 414810
Least Common Multiple of 198,2095 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 198,2095 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(198,2095) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(198,2095) x common factors =1 x 1 = 1
LCM(198,2095) = ( 198 × 2095 ) / 1
LCM(198,2095) = 414810 / 1
LCM(198,2095) = 414810
Lets's calculate GCF of 87,561
| 3 | 87, 561 |
| 29, 187 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 414810/3
Therefore the LCM of Fractions 198/87,2095/561 is 138270