Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/220, 665/487, 551/359 quickly i.e. 57855 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/220, 665/487, 551/359 is 57855.
LCM(57/220, 665/487, 551/359) = 57855
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/220,665/487,551/359
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 57,665,551
Least Common Multiple of Numerators i.e. LCM of 57,665,551 is 57855.
GCF of Denominators means GCF of 220,487,359 as per the given fractions.
GCF of 220,487,359 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,665,551
19 | 57, 665, 551 |
3, 35, 29 |
∴ So the LCM of the given numbers is 19 x 3 x 35 x 29 = 57855
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 57,665,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,665,551) = 19
common factors(in case of two or more numbers have common factors) = 19
GCF(57,665,551) x common factors =19 x 19 = 361
LCM(57,665,551) = ( 57 × 665 × 551 ) / 361
LCM(57,665,551) = 20885655 / 361
LCM(57,665,551) = 57855
Lets's calculate GCF of 220,487,359
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57855/1
Therefore the LCM of Fractions 57/220,665/487,551/359 is 57855
Factors of 220
List of positive integer factors of 220 that divides 220 without a remainder.
1,2,4,5,10,11,20,22,44,55,110,220
Factors of 487
List of positive integer factors of 487 that divides 487 without a remainder.
1,487
Factors of 359
List of positive integer factors of 359 that divides 359 without a remainder.
1,359
Greatest Common Factor
We found the factors 220,487,359 . The biggest common factor number is the GCF number.
So the greatest common factor 220,487,359 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 57/220, 665/487, 551/359?
Answer: LCM of Numerators as per given numbers 57/220, 665/487, 551/359 is
LCM of Numerators i.e. for 57,665,551 is 57855
GCF of denominators i.e. for 220,487,359 is 1.
Thus, LCM of Fractions is 57855.Finally, LCM of Fractions for 57/220, 665/487, 551/359 is 57855.