Least Common Multiple of 122/58, 619/4074
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 122/58, 619/4074 quickly i.e. 37759 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 122/58, 619/4074 is 37759.
LCM(122/58, 619/4074) = 37759
LCM of 122/58, 619/4074
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 122/58,619/4074
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 122,619
Least Common Multiple of Numerators i.e. LCM of 122,619 is 75518.
GCF of Denominators means GCF of 58,4074 as per the given fractions.
GCF of 58,4074 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 122,619
LCM of Fractions 122/58,619/4074 is 37759
Given numbers has no common factors except 1. So, there LCM is their product i.e 75518
Least Common Multiple of 122,619 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 122,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(122,619) x common factors =1 x 1 = 1
LCM(122,619) = ( 122 × 619 ) / 1
LCM(122,619) = 75518 / 1
LCM(122,619) = 75518
Lets's calculate GCF of 58,4074
| 2 | 58, 4074 |
| 29, 2037 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75518/2
Therefore the LCM of Fractions 122/58,619/4074 is 37759