Least Common Multiple of 391/450, 432/316
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 391/450, 432/316 quickly i.e. 84456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 391/450, 432/316 is 84456.
LCM(391/450, 432/316) = 84456
LCM of 391/450, 432/316
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 391/450,432/316
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 391,432
Least Common Multiple of Numerators i.e. LCM of 391,432 is 168912.
GCF of Denominators means GCF of 450,316 as per the given fractions.
GCF of 450,316 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 391,432
LCM of Fractions 391/450,432/316 is 84456
Given numbers has no common factors except 1. So, there LCM is their product i.e 168912
Least Common Multiple of 391,432 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 391,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(391,432) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(391,432) x common factors =1 x 1 = 1
LCM(391,432) = ( 391 × 432 ) / 1
LCM(391,432) = 168912 / 1
LCM(391,432) = 168912
Lets's calculate GCF of 450,316
| 2 | 450, 316 |
| 225, 158 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168912/2
Therefore the LCM of Fractions 391/450,432/316 is 84456