Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 24/780, 8688/4137 quickly i.e. 2896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 24/780, 8688/4137 is 2896.
LCM(24/780, 8688/4137) = 2896
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 24/780,8688/4137
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 24,8688
Least Common Multiple of Numerators i.e. LCM of 24,8688 is 8688.
GCF of Denominators means GCF of 780,4137 as per the given fractions.
GCF of 780,4137 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 24,8688
2 | 24, 8688 |
2 | 12, 4344 |
2 | 6, 2172 |
3 | 3, 1086 |
1, 362 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 1 x 362 = 8688
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 24,8688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(24,8688) = 24
common factors(in case of two or more numbers have common factors) = 1
GCF(24,8688) x common factors =24 x 1 = 24
LCM(24,8688) = ( 24 × 8688 ) / 24
LCM(24,8688) = 208512 / 24
LCM(24,8688) = 8688
Lets's calculate GCF of 780,4137
3 | 780, 4137 |
260, 1379 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8688/3
Therefore the LCM of Fractions 24/780,8688/4137 is 2896
Factors of 780
List of positive integer factors of 780 that divides 780 without a remainder.
1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Factors of 4137
List of positive integer factors of 4137 that divides 4137 without a remainder.
1,3,7,21,197,591,1379,4137
Greatest Common Factor
We found the factors 780,4137 . The biggest common factor number is the GCF number.
So the greatest common factor 780,4137 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 24/780, 8688/4137?
Answer: LCM of Numerators as per given numbers 24/780, 8688/4137 is
LCM of Numerators i.e. for 24,8688 is 8688
GCF of denominators i.e. for 780,4137 is 3.
Thus, LCM of Fractions is 2896.Finally, LCM of Fractions for 24/780, 8688/4137 is 2896.