Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 88/28, 615/10, 880/816 quickly i.e. 54120 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 88/28, 615/10, 880/816 is 54120.
LCM(88/28, 615/10, 880/816) = 54120
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 88/28,615/10,880/816
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 88,615,880
Least Common Multiple of Numerators i.e. LCM of 88,615,880 is 108240.
GCF of Denominators means GCF of 28,10,816 as per the given fractions.
GCF of 28,10,816 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 88,615,880
2 | 88, 615, 880 |
2 | 44, 615, 440 |
2 | 22, 615, 220 |
5 | 11, 615, 110 |
11 | 11, 123, 22 |
1, 123, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 1 x 123 x 2 = 108240
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 88,615,880 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(88,615,880) = 1
common factors(in case of two or more numbers have common factors) = 440
GCF(88,615,880) x common factors =1 x 440 = 440
LCM(88,615,880) = ( 88 × 615 × 880 ) / 440
LCM(88,615,880) = 47625600 / 440
LCM(88,615,880) = 108240
Lets's calculate GCF of 28,10,816
2 | 28, 10, 816 |
14, 5, 408 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 108240/2
Therefore the LCM of Fractions 88/28,615/10,880/816 is 54120
Factors of 28
List of positive integer factors of 28 that divides 28 without a remainder.
1,2,4,7,14,28
Factors of 10
List of positive integer factors of 10 that divides 10 without a remainder.
1,2,5,10
Factors of 816
List of positive integer factors of 816 that divides 816 without a remainder.
1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816
Greatest Common Factor
We found the factors 28,10,816 . The biggest common factor number is the GCF number.
So the greatest common factor 28,10,816 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 88/28, 615/10, 880/816?
Answer: LCM of Numerators as per given numbers 88/28, 615/10, 880/816 is
LCM of Numerators i.e. for 88,615,880 is 108240
GCF of denominators i.e. for 28,10,816 is 2.
Thus, LCM of Fractions is 54120.Finally, LCM of Fractions for 88/28, 615/10, 880/816 is 54120.