Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9588/518, 1149/472 quickly i.e. 1836102 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9588/518, 1149/472 is 1836102.
LCM(9588/518, 1149/472) = 1836102
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9588/518,1149/472
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 9588,1149
Least Common Multiple of Numerators i.e. LCM of 9588,1149 is 3672204.
GCF of Denominators means GCF of 518,472 as per the given fractions.
GCF of 518,472 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9588,1149
3 | 9588, 1149 |
3196, 383 |
∴ So the LCM of the given numbers is 3 x 3196 x 383 = 3672204
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 9588,1149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9588,1149) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9588,1149) x common factors =3 x 1 = 3
LCM(9588,1149) = ( 9588 × 1149 ) / 3
LCM(9588,1149) = 11016612 / 3
LCM(9588,1149) = 3672204
Lets's calculate GCF of 518,472
2 | 518, 472 |
259, 236 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3672204/2
Therefore the LCM of Fractions 9588/518,1149/472 is 1836102
Factors of 518
List of positive integer factors of 518 that divides 518 without a remainder.
1,2,7,14,37,74,259,518
Factors of 472
List of positive integer factors of 472 that divides 472 without a remainder.
1,2,4,8,59,118,236,472
Greatest Common Factor
We found the factors 518,472 . The biggest common factor number is the GCF number.
So the greatest common factor 518,472 is 2.
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 9588/518, 1149/472?
Answer: LCM of Numerators as per given numbers 9588/518, 1149/472 is
LCM of Numerators i.e. for 9588,1149 is 3672204
GCF of denominators i.e. for 518,472 is 2.
Thus, LCM of Fractions is 1836102.Finally, LCM of Fractions for 9588/518, 1149/472 is 1836102.