Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/233, 56/204, 987/896 quickly i.e. 7896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/233, 56/204, 987/896 is 7896.
LCM(24/233, 56/204, 987/896) = 7896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/233,56/204,987/896
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 24,56,987
Least Common Multiple of Numerators i.e. LCM of 24,56,987 is 7896.
GCF of Denominators means GCF of 233,204,896 as per the given fractions.
GCF of 233,204,896 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,56,987
2 | 24, 56, 987 |
2 | 12, 28, 987 |
2 | 6, 14, 987 |
3 | 3, 7, 987 |
7 | 1, 7, 329 |
1, 1, 47 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 7 x 1 x 1 x 47 = 7896
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 24,56,987 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,56,987) = 1
common factors(in case of two or more numbers have common factors) = 168
GCF(24,56,987) x common factors =1 x 168 = 168
LCM(24,56,987) = ( 24 × 56 × 987 ) / 168
LCM(24,56,987) = 1326528 / 168
LCM(24,56,987) = 7896
Lets's calculate GCF of 233,204,896
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7896/1
Therefore the LCM of Fractions 24/233,56/204,987/896 is 7896
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Factors of 896
List of positive integer factors of 896 that divides 896 without a remainder.
1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896
Greatest Common Factor
We found the factors 233,204,896 . The biggest common factor number is the GCF number.
So the greatest common factor 233,204,896 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 24/233, 56/204, 987/896?
Answer: LCM of Numerators as per given numbers 24/233, 56/204, 987/896 is
LCM of Numerators i.e. for 24,56,987 is 7896
GCF of denominators i.e. for 233,204,896 is 1.
Thus, LCM of Fractions is 7896.Finally, LCM of Fractions for 24/233, 56/204, 987/896 is 7896.