Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/566, 37/221, 320/236 quickly i.e. 319680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/566, 37/221, 320/236 is 319680.
LCM(27/566, 37/221, 320/236) = 319680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/566,37/221,320/236
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 27,37,320
Least Common Multiple of Numerators i.e. LCM of 27,37,320 is 319680.
GCF of Denominators means GCF of 566,221,236 as per the given fractions.
GCF of 566,221,236 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,37,320
Given numbers has no common factors except 1. So, there LCM is their product i.e 319680
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 27,37,320 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,37,320) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,37,320) x common factors =1 x 1 = 1
LCM(27,37,320) = ( 27 × 37 × 320 ) / 1
LCM(27,37,320) = 319680 / 1
LCM(27,37,320) = 319680
Lets's calculate GCF of 566,221,236
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 319680/1
Therefore the LCM of Fractions 27/566,37/221,320/236 is 319680
Factors of 566
List of positive integer factors of 566 that divides 566 without a remainder.
1,2,283,566
Factors of 221
List of positive integer factors of 221 that divides 221 without a remainder.
1,13,17,221
Factors of 236
List of positive integer factors of 236 that divides 236 without a remainder.
1,2,4,59,118,236
Greatest Common Factor
We found the factors 566,221,236 . The biggest common factor number is the GCF number.
So the greatest common factor 566,221,236 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 27/566, 37/221, 320/236?
Answer: LCM of Numerators as per given numbers 27/566, 37/221, 320/236 is
LCM of Numerators i.e. for 27,37,320 is 319680
GCF of denominators i.e. for 566,221,236 is 1.
Thus, LCM of Fractions is 319680.Finally, LCM of Fractions for 27/566, 37/221, 320/236 is 319680.