Least Common Multiple of 403/842, 4074/740
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 403/842, 4074/740 quickly i.e. 820911 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 403/842, 4074/740 is 820911.
LCM(403/842, 4074/740) = 820911
LCM of 403/842, 4074/740
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 403/842,4074/740
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 403,4074
Least Common Multiple of Numerators i.e. LCM of 403,4074 is 1641822.
GCF of Denominators means GCF of 842,740 as per the given fractions.
GCF of 842,740 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 403,4074
LCM of Fractions 403/842,4074/740 is 820911
Given numbers has no common factors except 1. So, there LCM is their product i.e 1641822
Least Common Multiple of 403,4074 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 403,4074 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,4074) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,4074) x common factors =1 x 1 = 1
LCM(403,4074) = ( 403 × 4074 ) / 1
LCM(403,4074) = 1641822 / 1
LCM(403,4074) = 1641822
Lets's calculate GCF of 842,740
| 2 | 842, 740 |
| 421, 370 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1641822/2
Therefore the LCM of Fractions 403/842,4074/740 is 820911