Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3/727, 36/285, 96/881 quickly i.e. 288 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3/727, 36/285, 96/881 is 288.
LCM(3/727, 36/285, 96/881) = 288
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3/727,36/285,96/881
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 3,36,96
Least Common Multiple of Numerators i.e. LCM of 3,36,96 is 288.
GCF of Denominators means GCF of 727,285,881 as per the given fractions.
GCF of 727,285,881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3,36,96
2 | 3, 36, 96 |
2 | 3, 18, 48 |
3 | 3, 9, 24 |
1, 3, 8 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 3 x 8 = 288
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 3,36,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3,36,96) = 3
common factors(in case of two or more numbers have common factors) = 12
GCF(3,36,96) x common factors =3 x 12 = 36
LCM(3,36,96) = ( 3 × 36 × 96 ) / 36
LCM(3,36,96) = 10368 / 36
LCM(3,36,96) = 288
Lets's calculate GCF of 727,285,881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 288/1
Therefore the LCM of Fractions 3/727,36/285,96/881 is 288
Factors of 727
List of positive integer factors of 727 that divides 727 without a remainder.
1,727
Factors of 285
List of positive integer factors of 285 that divides 285 without a remainder.
1,3,5,15,19,57,95,285
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Greatest Common Factor
We found the factors 727,285,881 . The biggest common factor number is the GCF number.
So the greatest common factor 727,285,881 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 3/727, 36/285, 96/881?
Answer: LCM of Numerators as per given numbers 3/727, 36/285, 96/881 is
LCM of Numerators i.e. for 3,36,96 is 288
GCF of denominators i.e. for 727,285,881 is 1.
Thus, LCM of Fractions is 288.Finally, LCM of Fractions for 3/727, 36/285, 96/881 is 288.