Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1882/513, 3391/285 quickly i.e. 6381862/57 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1882/513, 3391/285 is 6381862/57.
LCM(1882/513, 3391/285) = 6381862/57
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1882/513,3391/285
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 1882,3391
Least Common Multiple of Numerators i.e. LCM of 1882,3391 is 6381862.
GCF of Denominators means GCF of 513,285 as per the given fractions.
GCF of 513,285 is 57 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1882,3391
Given numbers has no common factors except 1. So, there LCM is their product i.e 6381862
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 1882,3391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1882,3391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1882,3391) x common factors =1 x 1 = 1
LCM(1882,3391) = ( 1882 × 3391 ) / 1
LCM(1882,3391) = 6381862 / 1
LCM(1882,3391) = 6381862
Lets's calculate GCF of 513,285
3 | 513, 285 |
19 | 171, 95 |
9, 5 |
∴ So the GCF of the given numbers is 3 x 19 = 57
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6381862/57
Therefore the LCM of Fractions 1882/513,3391/285 is 6381862/57
Factors of 513
List of positive integer factors of 513 that divides 513 without a remainder.
1,3,9,19,27,57,171,513
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Greatest Common Factor
We found the factors 513,285 . The biggest common factor number is the GCF number.
So the greatest common factor 513,285 is 57.
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 1882/513, 3391/285?
Answer: LCM of Numerators as per given numbers 1882/513, 3391/285 is
LCM of Numerators i.e. for 1882,3391 is 6381862
GCF of denominators i.e. for 513,285 is 57.
Thus, LCM of Fractions is 6381862/57.Finally, LCM of Fractions for 1882/513, 3391/285 is 6381862/57.