Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8943/24, 8140/237 quickly i.e. 2205940 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8943/24, 8140/237 is 2205940.
LCM(8943/24, 8140/237) = 2205940
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8943/24,8140/237
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 8943,8140
Least Common Multiple of Numerators i.e. LCM of 8943,8140 is 6617820.
GCF of Denominators means GCF of 24,237 as per the given fractions.
GCF of 24,237 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8943,8140
11 | 8943, 8140 |
813, 740 |
∴ So the LCM of the given numbers is 11 x 813 x 740 = 6617820
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 8943,8140 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8943,8140) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(8943,8140) x common factors =11 x 1 = 11
LCM(8943,8140) = ( 8943 × 8140 ) / 11
LCM(8943,8140) = 72796020 / 11
LCM(8943,8140) = 6617820
Lets's calculate GCF of 24,237
3 | 24, 237 |
8, 79 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6617820/3
Therefore the LCM of Fractions 8943/24,8140/237 is 2205940
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 237
List of positive integer factors of 237 that divides 237 without a remainder.
1,3,79,237
Greatest Common Factor
We found the factors 24,237 . The biggest common factor number is the GCF number.
So the greatest common factor 24,237 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 8943/24, 8140/237?
Answer: LCM of Numerators as per given numbers 8943/24, 8140/237 is
LCM of Numerators i.e. for 8943,8140 is 6617820
GCF of denominators i.e. for 24,237 is 3.
Thus, LCM of Fractions is 2205940.Finally, LCM of Fractions for 8943/24, 8140/237 is 2205940.