Least Common Multiple of 36/988, 4382/3423
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 36/988, 4382/3423 quickly i.e. 78876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 36/988, 4382/3423 is 78876.
LCM(36/988, 4382/3423) = 78876
LCM of 36/988, 4382/3423
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 36/988,4382/3423
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 36,4382
Least Common Multiple of Numerators i.e. LCM of 36,4382 is 78876.
GCF of Denominators means GCF of 988,3423 as per the given fractions.
GCF of 988,3423 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 36,4382
LCM of Fractions 36/988,4382/3423 is 78876
| 2 | 36, 4382 |
| 18, 2191 |
∴ So the LCM of the given numbers is 2 x 18 x 2191 = 78876
Least Common Multiple of 36,4382 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 36,4382 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(36,4382) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(36,4382) x common factors =2 x 1 = 2
LCM(36,4382) = ( 36 × 4382 ) / 2
LCM(36,4382) = 157752 / 2
LCM(36,4382) = 78876
Lets's calculate GCF of 988,3423
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78876/1
Therefore the LCM of Fractions 36/988,4382/3423 is 78876