Least Common Multiple of 122/51, 7815/690
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/51, 7815/690 quickly i.e. 317810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/51, 7815/690 is 317810.
LCM(122/51, 7815/690) = 317810
LCM of 122/51, 7815/690
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/51,7815/690
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 122,7815
Least Common Multiple of Numerators i.e. LCM of 122,7815 is 953430.
GCF of Denominators means GCF of 51,690 as per the given fractions.
GCF of 51,690 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,7815
LCM of Fractions 122/51,7815/690 is 317810
Given numbers has no common factors except 1. So, there LCM is their product i.e 953430
Least Common Multiple of 122,7815 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 122,7815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,7815) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,7815) x common factors =1 x 1 = 1
LCM(122,7815) = ( 122 × 7815 ) / 1
LCM(122,7815) = 953430 / 1
LCM(122,7815) = 953430
Lets's calculate GCF of 51,690
| 3 | 51, 690 |
| 17, 230 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 953430/3
Therefore the LCM of Fractions 122/51,7815/690 is 317810