Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 287/36, 189/15, 736/400 quickly i.e. 5703264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 287/36, 189/15, 736/400 is 5703264.
LCM(287/36, 189/15, 736/400) = 5703264
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 287/36,189/15,736/400
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 287,189,736
Least Common Multiple of Numerators i.e. LCM of 287,189,736 is 5703264.
GCF of Denominators means GCF of 36,15,400 as per the given fractions.
GCF of 36,15,400 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 287,189,736
7 | 287, 189, 736 |
41, 27, 736 |
∴ So the LCM of the given numbers is 7 x 41 x 27 x 736 = 5703264
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 287,189,736 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(287,189,736) = 1
common factors(in case of two or more numbers have common factors) = 7
GCF(287,189,736) x common factors =1 x 7 = 7
LCM(287,189,736) = ( 287 × 189 × 736 ) / 7
LCM(287,189,736) = 39922848 / 7
LCM(287,189,736) = 5703264
Lets's calculate GCF of 36,15,400
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5703264/1
Therefore the LCM of Fractions 287/36,189/15,736/400 is 5703264
Factors of 36
List of positive integer factors of 36 that divides 36 without a remainder.
1,2,3,4,6,9,12,18,36
Factors of 15
List of positive integer factors of 15 that divides 15 without a remainder.
1,3,5,15
Factors of 400
List of positive integer factors of 400 that divides 400 without a remainder.
1,2,4,5,8,10,16,20,25,40,50,80,100,200,400
Greatest Common Factor
We found the factors 36,15,400 . The biggest common factor number is the GCF number.
So the greatest common factor 36,15,400 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 287/36, 189/15, 736/400?
Answer: LCM of Numerators as per given numbers 287/36, 189/15, 736/400 is
LCM of Numerators i.e. for 287,189,736 is 5703264
GCF of denominators i.e. for 36,15,400 is 1.
Thus, LCM of Fractions is 5703264.Finally, LCM of Fractions for 287/36, 189/15, 736/400 is 5703264.