Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9932/583, 8416/9170 quickly i.e. 20896928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9932/583, 8416/9170 is 20896928.
LCM(9932/583, 8416/9170) = 20896928
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9932/583,8416/9170
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 9932,8416
Least Common Multiple of Numerators i.e. LCM of 9932,8416 is 20896928.
GCF of Denominators means GCF of 583,9170 as per the given fractions.
GCF of 583,9170 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9932,8416
2 | 9932, 8416 |
2 | 4966, 4208 |
2483, 2104 |
∴ So the LCM of the given numbers is 2 x 2 x 2483 x 2104 = 20896928
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 9932,8416 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9932,8416) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(9932,8416) x common factors =4 x 1 = 4
LCM(9932,8416) = ( 9932 × 8416 ) / 4
LCM(9932,8416) = 83587712 / 4
LCM(9932,8416) = 20896928
Lets's calculate GCF of 583,9170
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20896928/1
Therefore the LCM of Fractions 9932/583,8416/9170 is 20896928
Factors of 583
List of positive integer factors of 583 that divides 583 without a remainder.
1,11,53,583
Factors of 9170
List of positive integer factors of 9170 that divides 9170 without a remainder.
1,2,5,7,10,14,35,70,131,262,655,917,1310,1834,4585,9170
Greatest Common Factor
We found the factors 583,9170 . The biggest common factor number is the GCF number.
So the greatest common factor 583,9170 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 9932/583, 8416/9170?
Answer: LCM of Numerators as per given numbers 9932/583, 8416/9170 is
LCM of Numerators i.e. for 9932,8416 is 20896928
GCF of denominators i.e. for 583,9170 is 1.
Thus, LCM of Fractions is 20896928.Finally, LCM of Fractions for 9932/583, 8416/9170 is 20896928.