Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/552, 8848/529 quickly i.e. 362768/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/552, 8848/529 is 362768/23.
LCM(287/552, 8848/529) = 362768/23
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/552,8848/529
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 287,8848
Least Common Multiple of Numerators i.e. LCM of 287,8848 is 362768.
GCF of Denominators means GCF of 552,529 as per the given fractions.
GCF of 552,529 is 23 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,8848
7 | 287, 8848 |
41, 1264 |
∴ So the LCM of the given numbers is 7 x 41 x 1264 = 362768
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 287,8848 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,8848) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(287,8848) x common factors =7 x 1 = 7
LCM(287,8848) = ( 287 × 8848 ) / 7
LCM(287,8848) = 2539376 / 7
LCM(287,8848) = 362768
Lets's calculate GCF of 552,529
23 | 552, 529 |
24, 23 |
∴ So the GCF of the given numbers is 23 = 23
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 362768/23
Therefore the LCM of Fractions 287/552,8848/529 is 362768/23
Factors of 552
List of positive integer factors of 552 that divides 552 without a remainder.
1,2,3,4,6,8,12,23,24,46,69,92,138,184,276,552
Factors of 529
List of positive integer factors of 529 that divides 529 without a remainder.
1,23,529
Greatest Common Factor
We found the factors 552,529 . The biggest common factor number is the GCF number.
So the greatest common factor 552,529 is 23.
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 287/552, 8848/529?
Answer: LCM of Numerators as per given numbers 287/552, 8848/529 is
LCM of Numerators i.e. for 287,8848 is 362768
GCF of denominators i.e. for 552,529 is 23.
Thus, LCM of Fractions is 362768/23.Finally, LCM of Fractions for 287/552, 8848/529 is 362768/23.