Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 85/896, 56/816 quickly i.e. 4760/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 85/896, 56/816 is 4760/16.
LCM(85/896, 56/816) = 4760/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 85/896,56/816
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 85,56
Least Common Multiple of Numerators i.e. LCM of 85,56 is 4760.
GCF of Denominators means GCF of 896,816 as per the given fractions.
GCF of 896,816 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 85,56
Given numbers has no common factors except 1. So, there LCM is their product i.e 4760
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 85,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(85,56) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(85,56) x common factors =1 x 1 = 1
LCM(85,56) = ( 85 × 56 ) / 1
LCM(85,56) = 4760 / 1
LCM(85,56) = 4760
Lets's calculate GCF of 896,816
2 | 896, 816 |
2 | 448, 408 |
2 | 224, 204 |
2 | 112, 102 |
56, 51 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4760/16
Therefore the LCM of Fractions 85/896,56/816 is 4760/16
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
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 896,816 . The biggest common factor number is the GCF number.
So the greatest common factor 896,816 is 16.
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 85/896, 56/816?
Answer: LCM of Numerators as per given numbers 85/896, 56/816 is
LCM of Numerators i.e. for 85,56 is 4760
GCF of denominators i.e. for 896,816 is 16.
Thus, LCM of Fractions is 4760/16.Finally, LCM of Fractions for 85/896, 56/816 is 4760/16.