Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 655/31, 724/8889 quickly i.e. 474220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 655/31, 724/8889 is 474220.
LCM(655/31, 724/8889) = 474220
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 655/31,724/8889
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 655,724
Least Common Multiple of Numerators i.e. LCM of 655,724 is 474220.
GCF of Denominators means GCF of 31,8889 as per the given fractions.
GCF of 31,8889 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 655,724
Given numbers has no common factors except 1. So, there LCM is their product i.e 474220
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 655,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,724) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,724) x common factors =1 x 1 = 1
LCM(655,724) = ( 655 × 724 ) / 1
LCM(655,724) = 474220 / 1
LCM(655,724) = 474220
Lets's calculate GCF of 31,8889
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 474220/1
Therefore the LCM of Fractions 655/31,724/8889 is 474220
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 8889
List of positive integer factors of 8889 that divides 8889 without a remainder.
1,3,2963,8889
Greatest Common Factor
We found the factors 31,8889 . The biggest common factor number is the GCF number.
So the greatest common factor 31,8889 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 655/31, 724/8889?
Answer: LCM of Numerators as per given numbers 655/31, 724/8889 is
LCM of Numerators i.e. for 655,724 is 474220
GCF of denominators i.e. for 31,8889 is 1.
Thus, LCM of Fractions is 474220.Finally, LCM of Fractions for 655/31, 724/8889 is 474220.