Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9883/644, 8714/4452 quickly i.e. 86120462/28 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9883/644, 8714/4452 is 86120462/28.
LCM(9883/644, 8714/4452) = 86120462/28
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9883/644,8714/4452
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 9883,8714
Least Common Multiple of Numerators i.e. LCM of 9883,8714 is 86120462.
GCF of Denominators means GCF of 644,4452 as per the given fractions.
GCF of 644,4452 is 28 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9883,8714
Given numbers has no common factors except 1. So, there LCM is their product i.e 86120462
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 9883,8714 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9883,8714) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9883,8714) x common factors =1 x 1 = 1
LCM(9883,8714) = ( 9883 × 8714 ) / 1
LCM(9883,8714) = 86120462 / 1
LCM(9883,8714) = 86120462
Lets's calculate GCF of 644,4452
2 | 644, 4452 |
2 | 322, 2226 |
7 | 161, 1113 |
23, 159 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86120462/28
Therefore the LCM of Fractions 9883/644,8714/4452 is 86120462/28
Factors of 644
List of positive integer factors of 644 that divides 644 without a remainder.
1,2,4,7,14,23,28,46,92,161,322,644
Factors of 4452
List of positive integer factors of 4452 that divides 4452 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,53,84,106,159,212,318,371,636,742,1113,1484,2226,4452
Greatest Common Factor
We found the factors 644,4452 . The biggest common factor number is the GCF number.
So the greatest common factor 644,4452 is 28.
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 9883/644, 8714/4452?
Answer: LCM of Numerators as per given numbers 9883/644, 8714/4452 is
LCM of Numerators i.e. for 9883,8714 is 86120462
GCF of denominators i.e. for 644,4452 is 28.
Thus, LCM of Fractions is 86120462/28.Finally, LCM of Fractions for 9883/644, 8714/4452 is 86120462/28.