Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 896/89, 685/5584 quickly i.e. 613760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 896/89, 685/5584 is 613760.
LCM(896/89, 685/5584) = 613760
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 896/89,685/5584
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 896,685
Least Common Multiple of Numerators i.e. LCM of 896,685 is 613760.
GCF of Denominators means GCF of 89,5584 as per the given fractions.
GCF of 89,5584 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 896,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 613760
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 896,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(896,685) x common factors =1 x 1 = 1
LCM(896,685) = ( 896 × 685 ) / 1
LCM(896,685) = 613760 / 1
LCM(896,685) = 613760
Lets's calculate GCF of 89,5584
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 613760/1
Therefore the LCM of Fractions 896/89,685/5584 is 613760
Factors of 89
List of positive integer factors of 89 that divides 89 without a remainder.
1,89
Factors of 5584
List of positive integer factors of 5584 that divides 5584 without a remainder.
1,2,4,8,16,349,698,1396,2792,5584
Greatest Common Factor
We found the factors 89,5584 . The biggest common factor number is the GCF number.
So the greatest common factor 89,5584 is 1.
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 896/89, 685/5584?
Answer: LCM of Numerators as per given numbers 896/89, 685/5584 is
LCM of Numerators i.e. for 896,685 is 613760
GCF of denominators i.e. for 89,5584 is 1.
Thus, LCM of Fractions is 613760.Finally, LCM of Fractions for 896/89, 685/5584 is 613760.