Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 302/46, 1399/882 quickly i.e. 211249 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 302/46, 1399/882 is 211249.
LCM(302/46, 1399/882) = 211249
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 302/46,1399/882
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 302,1399
Least Common Multiple of Numerators i.e. LCM of 302,1399 is 422498.
GCF of Denominators means GCF of 46,882 as per the given fractions.
GCF of 46,882 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 302,1399
Given numbers has no common factors except 1. So, there LCM is their product i.e 422498
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 302,1399 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(302,1399) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(302,1399) x common factors =1 x 1 = 1
LCM(302,1399) = ( 302 × 1399 ) / 1
LCM(302,1399) = 422498 / 1
LCM(302,1399) = 422498
Lets's calculate GCF of 46,882
2 | 46, 882 |
23, 441 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 422498/2
Therefore the LCM of Fractions 302/46,1399/882 is 211249
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 882
List of positive integer factors of 882 that divides 882 without a remainder.
1,2,3,6,7,9,14,18,21,42,49,63,98,126,147,294,441,882
Greatest Common Factor
We found the factors 46,882 . The biggest common factor number is the GCF number.
So the greatest common factor 46,882 is 2.
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 302/46, 1399/882?
Answer: LCM of Numerators as per given numbers 302/46, 1399/882 is
LCM of Numerators i.e. for 302,1399 is 422498
GCF of denominators i.e. for 46,882 is 2.
Thus, LCM of Fractions is 211249.Finally, LCM of Fractions for 302/46, 1399/882 is 211249.