Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 430/322, 430/843 quickly i.e. 430 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 430/322, 430/843 is 430.
LCM(430/322, 430/843) = 430
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 430/322,430/843
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 430,430
Least Common Multiple of Numerators i.e. LCM of 430,430 is 430.
GCF of Denominators means GCF of 322,843 as per the given fractions.
GCF of 322,843 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 430,430
2 | 430, 430 |
5 | 215, 215 |
43 | 43, 43 |
1, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 43 x 1 x 1 = 430
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 430,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(430,430) = 430
common factors(in case of two or more numbers have common factors) = 1
GCF(430,430) x common factors =430 x 1 = 430
LCM(430,430) = ( 430 × 430 ) / 430
LCM(430,430) = 184900 / 430
LCM(430,430) = 430
Lets's calculate GCF of 322,843
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 430/1
Therefore the LCM of Fractions 430/322,430/843 is 430
Factors of 322
List of positive integer factors of 322 that divides 322 without a remainder.
1,2,7,14,23,46,161,322
Factors of 843
List of positive integer factors of 843 that divides 843 without a remainder.
1,3,281,843
Greatest Common Factor
We found the factors 322,843 . The biggest common factor number is the GCF number.
So the greatest common factor 322,843 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 430/322, 430/843?
Answer: LCM of Numerators as per given numbers 430/322, 430/843 is
LCM of Numerators i.e. for 430,430 is 430
GCF of denominators i.e. for 322,843 is 1.
Thus, LCM of Fractions is 430.Finally, LCM of Fractions for 430/322, 430/843 is 430.