Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4387/24, 9237/854 quickly i.e. 40522719/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4387/24, 9237/854 is 40522719/2.
LCM(4387/24, 9237/854) = 40522719/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4387/24,9237/854
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 4387,9237
Least Common Multiple of Numerators i.e. LCM of 4387,9237 is 40522719.
GCF of Denominators means GCF of 24,854 as per the given fractions.
GCF of 24,854 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4387,9237
Given numbers has no common factors except 1. So, there LCM is their product i.e 40522719
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 4387,9237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4387,9237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4387,9237) x common factors =1 x 1 = 1
LCM(4387,9237) = ( 4387 × 9237 ) / 1
LCM(4387,9237) = 40522719 / 1
LCM(4387,9237) = 40522719
Lets's calculate GCF of 24,854
2 | 24, 854 |
12, 427 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40522719/2
Therefore the LCM of Fractions 4387/24,9237/854 is 40522719/2
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Greatest Common Factor
We found the factors 24,854 . The biggest common factor number is the GCF number.
So the greatest common factor 24,854 is 2.
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 4387/24, 9237/854?
Answer: LCM of Numerators as per given numbers 4387/24, 9237/854 is
LCM of Numerators i.e. for 4387,9237 is 40522719
GCF of denominators i.e. for 24,854 is 2.
Thus, LCM of Fractions is 40522719/2.Finally, LCM of Fractions for 4387/24, 9237/854 is 40522719/2.