Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 203/36, 584/87, 610/963 quickly i.e. 36158360/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 203/36, 584/87, 610/963 is 36158360/3.
LCM(203/36, 584/87, 610/963) = 36158360/3
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 203/36,584/87,610/963
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 203,584,610
Least Common Multiple of Numerators i.e. LCM of 203,584,610 is 36158360.
GCF of Denominators means GCF of 36,87,963 as per the given fractions.
GCF of 36,87,963 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 203,584,610
2 | 203, 584, 610 |
203, 292, 305 |
∴ So the LCM of the given numbers is 2 x 203 x 292 x 305 = 36158360
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 203,584,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(203,584,610) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(203,584,610) x common factors =1 x 2 = 2
LCM(203,584,610) = ( 203 × 584 × 610 ) / 2
LCM(203,584,610) = 72316720 / 2
LCM(203,584,610) = 36158360
Lets's calculate GCF of 36,87,963
3 | 36, 87, 963 |
12, 29, 321 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36158360/3
Therefore the LCM of Fractions 203/36,584/87,610/963 is 36158360/3
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 87
List of positive integer factors of 87 that divides 87 without a remainder.
1,3,29,87
Factors of 963
List of positive integer factors of 963 that divides 963 without a remainder.
1,3,9,107,321,963
Greatest Common Factor
We found the factors 36,87,963 . The biggest common factor number is the GCF number.
So the greatest common factor 36,87,963 is 3.
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 203/36, 584/87, 610/963?
Answer: LCM of Numerators as per given numbers 203/36, 584/87, 610/963 is
LCM of Numerators i.e. for 203,584,610 is 36158360
GCF of denominators i.e. for 36,87,963 is 3.
Thus, LCM of Fractions is 36158360/3.Finally, LCM of Fractions for 203/36, 584/87, 610/963 is 36158360/3.