Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 943/410, 428/287 quickly i.e. 9844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 943/410, 428/287 is 9844.
LCM(943/410, 428/287) = 9844
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 943/410,428/287
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 943,428
Least Common Multiple of Numerators i.e. LCM of 943,428 is 403604.
GCF of Denominators means GCF of 410,287 as per the given fractions.
GCF of 410,287 is 41 as it is the largest common factor for these numbers.
Lets's calculate LCM of 943,428
Given numbers has no common factors except 1. So, there LCM is their product i.e 403604
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 943,428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(943,428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(943,428) x common factors =1 x 1 = 1
LCM(943,428) = ( 943 × 428 ) / 1
LCM(943,428) = 403604 / 1
LCM(943,428) = 403604
Lets's calculate GCF of 410,287
41 | 410, 287 |
10, 7 |
∴ So the GCF of the given numbers is 41 = 41
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 403604/41
Therefore the LCM of Fractions 943/410,428/287 is 9844
Factors of 410
List of positive integer factors of 410 that divides 410 without a remainder.
1,2,5,10,41,82,205,410
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Greatest Common Factor
We found the factors 410,287 . The biggest common factor number is the GCF number.
So the greatest common factor 410,287 is 41.
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 943/410, 428/287?
Answer: LCM of Numerators as per given numbers 943/410, 428/287 is
LCM of Numerators i.e. for 943,428 is 403604
GCF of denominators i.e. for 410,287 is 41.
Thus, LCM of Fractions is 9844.Finally, LCM of Fractions for 943/410, 428/287 is 9844.