Least Common Multiple of 430/682, 1373/5438
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 430/682, 1373/5438 quickly i.e. 295195 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 430/682, 1373/5438 is 295195.
LCM(430/682, 1373/5438) = 295195
LCM of 430/682, 1373/5438
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 430/682,1373/5438
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 430,1373
Least Common Multiple of Numerators i.e. LCM of 430,1373 is 590390.
GCF of Denominators means GCF of 682,5438 as per the given fractions.
GCF of 682,5438 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 430,1373
LCM of Fractions 430/682,1373/5438 is 295195
Given numbers has no common factors except 1. So, there LCM is their product i.e 590390
Least Common Multiple of 430,1373 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 430,1373 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,1373) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(430,1373) x common factors =1 x 1 = 1
LCM(430,1373) = ( 430 × 1373 ) / 1
LCM(430,1373) = 590390 / 1
LCM(430,1373) = 590390
Lets's calculate GCF of 682,5438
| 2 | 682, 5438 |
| 341, 2719 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 590390/2
Therefore the LCM of Fractions 430/682,1373/5438 is 295195