Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 51/563, 21/765, 227/258 quickly i.e. 81039 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 51/563, 21/765, 227/258 is 81039.
LCM(51/563, 21/765, 227/258) = 81039
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 51/563,21/765,227/258
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 51,21,227
Least Common Multiple of Numerators i.e. LCM of 51,21,227 is 81039.
GCF of Denominators means GCF of 563,765,258 as per the given fractions.
GCF of 563,765,258 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 51,21,227
3 | 51, 21, 227 |
17, 7, 227 |
∴ So the LCM of the given numbers is 3 x 17 x 7 x 227 = 81039
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 51,21,227 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,21,227) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(51,21,227) x common factors =1 x 3 = 3
LCM(51,21,227) = ( 51 × 21 × 227 ) / 3
LCM(51,21,227) = 243117 / 3
LCM(51,21,227) = 81039
Lets's calculate GCF of 563,765,258
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81039/1
Therefore the LCM of Fractions 51/563,21/765,227/258 is 81039
Factors of 563
List of positive integer factors of 563 that divides 563 without a remainder.
1,563
Factors of 765
List of positive integer factors of 765 that divides 765 without a remainder.
1,3,5,9,15,17,45,51,85,153,255,765
Factors of 258
List of positive integer factors of 258 that divides 258 without a remainder.
1,2,3,6,43,86,129,258
Greatest Common Factor
We found the factors 563,765,258 . The biggest common factor number is the GCF number.
So the greatest common factor 563,765,258 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 51/563, 21/765, 227/258?
Answer: LCM of Numerators as per given numbers 51/563, 21/765, 227/258 is
LCM of Numerators i.e. for 51,21,227 is 81039
GCF of denominators i.e. for 563,765,258 is 1.
Thus, LCM of Fractions is 81039.Finally, LCM of Fractions for 51/563, 21/765, 227/258 is 81039.