Least Common Multiple of 68/330, 6169/1982
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 68/330, 6169/1982 quickly i.e. 209746 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 68/330, 6169/1982 is 209746.
LCM(68/330, 6169/1982) = 209746
LCM of 68/330, 6169/1982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 68/330,6169/1982
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 68,6169
Least Common Multiple of Numerators i.e. LCM of 68,6169 is 419492.
GCF of Denominators means GCF of 330,1982 as per the given fractions.
GCF of 330,1982 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 68,6169
LCM of Fractions 68/330,6169/1982 is 209746
Given numbers has no common factors except 1. So, there LCM is their product i.e 419492
Least Common Multiple of 68,6169 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 68,6169 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(68,6169) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(68,6169) x common factors =1 x 1 = 1
LCM(68,6169) = ( 68 × 6169 ) / 1
LCM(68,6169) = 419492 / 1
LCM(68,6169) = 419492
Lets's calculate GCF of 330,1982
| 2 | 330, 1982 |
| 165, 991 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 419492/2
Therefore the LCM of Fractions 68/330,6169/1982 is 209746