Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/551, 3362/4259 quickly i.e. 23534 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/551, 3362/4259 is 23534.
LCM(287/551, 3362/4259) = 23534
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/551,3362/4259
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 287,3362
Least Common Multiple of Numerators i.e. LCM of 287,3362 is 23534.
GCF of Denominators means GCF of 551,4259 as per the given fractions.
GCF of 551,4259 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,3362
41 | 287, 3362 |
7, 82 |
∴ So the LCM of the given numbers is 41 x 7 x 82 = 23534
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 287,3362 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,3362) = 41
common factors(in case of two or more numbers have common factors) = 1
GCF(287,3362) x common factors =41 x 1 = 41
LCM(287,3362) = ( 287 × 3362 ) / 41
LCM(287,3362) = 964894 / 41
LCM(287,3362) = 23534
Lets's calculate GCF of 551,4259
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23534/1
Therefore the LCM of Fractions 287/551,3362/4259 is 23534
Factors of 551
List of positive integer factors of 551 that divides 551 without a remainder.
1,19,29,551
Factors of 4259
List of positive integer factors of 4259 that divides 4259 without a remainder.
1,4259
Greatest Common Factor
We found the factors 551,4259 . The biggest common factor number is the GCF number.
So the greatest common factor 551,4259 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 287/551, 3362/4259?
Answer: LCM of Numerators as per given numbers 287/551, 3362/4259 is
LCM of Numerators i.e. for 287,3362 is 23534
GCF of denominators i.e. for 551,4259 is 1.
Thus, LCM of Fractions is 23534.Finally, LCM of Fractions for 287/551, 3362/4259 is 23534.