Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 89/640, 9641/5653 quickly i.e. 858049 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 89/640, 9641/5653 is 858049.
LCM(89/640, 9641/5653) = 858049
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 89/640,9641/5653
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 89,9641
Least Common Multiple of Numerators i.e. LCM of 89,9641 is 858049.
GCF of Denominators means GCF of 640,5653 as per the given fractions.
GCF of 640,5653 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 89,9641
Given numbers has no common factors except 1. So, there LCM is their product i.e 858049
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 89,9641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,9641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,9641) x common factors =1 x 1 = 1
LCM(89,9641) = ( 89 × 9641 ) / 1
LCM(89,9641) = 858049 / 1
LCM(89,9641) = 858049
Lets's calculate GCF of 640,5653
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 858049/1
Therefore the LCM of Fractions 89/640,9641/5653 is 858049
Factors of 640
List of positive integer factors of 640 that divides 640 without a remainder.
1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640
Factors of 5653
List of positive integer factors of 5653 that divides 5653 without a remainder.
1,5653
Greatest Common Factor
We found the factors 640,5653 . The biggest common factor number is the GCF number.
So the greatest common factor 640,5653 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 89/640, 9641/5653?
Answer: LCM of Numerators as per given numbers 89/640, 9641/5653 is
LCM of Numerators i.e. for 89,9641 is 858049
GCF of denominators i.e. for 640,5653 is 1.
Thus, LCM of Fractions is 858049.Finally, LCM of Fractions for 89/640, 9641/5653 is 858049.