Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 284/802, 3982/299 quickly i.e. 565444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 284/802, 3982/299 is 565444.
LCM(284/802, 3982/299) = 565444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 284/802,3982/299
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 284,3982
Least Common Multiple of Numerators i.e. LCM of 284,3982 is 565444.
GCF of Denominators means GCF of 802,299 as per the given fractions.
GCF of 802,299 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 284,3982
2 | 284, 3982 |
142, 1991 |
∴ So the LCM of the given numbers is 2 x 142 x 1991 = 565444
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 284,3982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,3982) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(284,3982) x common factors =2 x 1 = 2
LCM(284,3982) = ( 284 × 3982 ) / 2
LCM(284,3982) = 1130888 / 2
LCM(284,3982) = 565444
Lets's calculate GCF of 802,299
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 565444/1
Therefore the LCM of Fractions 284/802,3982/299 is 565444
Factors of 802
List of positive integer factors of 802 that divides 802 without a remainder.
1,2,401,802
Factors of 299
List of positive integer factors of 299 that divides 299 without a remainder.
1,13,23,299
Greatest Common Factor
We found the factors 802,299 . The biggest common factor number is the GCF number.
So the greatest common factor 802,299 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 284/802, 3982/299?
Answer: LCM of Numerators as per given numbers 284/802, 3982/299 is
LCM of Numerators i.e. for 284,3982 is 565444
GCF of denominators i.e. for 802,299 is 1.
Thus, LCM of Fractions is 565444.Finally, LCM of Fractions for 284/802, 3982/299 is 565444.