Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/287, 36/320, 789/282 quickly i.e. 94680 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/287, 36/320, 789/282 is 94680.
LCM(40/287, 36/320, 789/282) = 94680
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/287,36/320,789/282
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 40,36,789
Least Common Multiple of Numerators i.e. LCM of 40,36,789 is 94680.
GCF of Denominators means GCF of 287,320,282 as per the given fractions.
GCF of 287,320,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,36,789
2 | 40, 36, 789 |
2 | 20, 18, 789 |
3 | 10, 9, 789 |
10, 3, 263 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 10 x 3 x 263 = 94680
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 40,36,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,36,789) = 1
common factors(in case of two or more numbers have common factors) = 12
GCF(40,36,789) x common factors =1 x 12 = 12
LCM(40,36,789) = ( 40 × 36 × 789 ) / 12
LCM(40,36,789) = 1136160 / 12
LCM(40,36,789) = 94680
Lets's calculate GCF of 287,320,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94680/1
Therefore the LCM of Fractions 40/287,36/320,789/282 is 94680
Factors of 287
List of positive integer factors of 287 that divides 287 without a remainder.
1,7,41,287
Factors of 320
List of positive integer factors of 320 that divides 320 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,160,320
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 287,320,282 . The biggest common factor number is the GCF number.
So the greatest common factor 287,320,282 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 40/287, 36/320, 789/282?
Answer: LCM of Numerators as per given numbers 40/287, 36/320, 789/282 is
LCM of Numerators i.e. for 40,36,789 is 94680
GCF of denominators i.e. for 287,320,282 is 1.
Thus, LCM of Fractions is 94680.Finally, LCM of Fractions for 40/287, 36/320, 789/282 is 94680.