Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/162, 87/489, 518/303 quickly i.e. 465682 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/162, 87/489, 518/303 is 465682.
LCM(31/162, 87/489, 518/303) = 465682
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/162,87/489,518/303
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 31,87,518
Least Common Multiple of Numerators i.e. LCM of 31,87,518 is 1397046.
GCF of Denominators means GCF of 162,489,303 as per the given fractions.
GCF of 162,489,303 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,87,518
Given numbers has no common factors except 1. So, there LCM is their product i.e 1397046
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 31,87,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,87,518) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,87,518) x common factors =1 x 1 = 1
LCM(31,87,518) = ( 31 × 87 × 518 ) / 1
LCM(31,87,518) = 1397046 / 1
LCM(31,87,518) = 1397046
Lets's calculate GCF of 162,489,303
3 | 162, 489, 303 |
54, 163, 101 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1397046/3
Therefore the LCM of Fractions 31/162,87/489,518/303 is 465682
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1,3,163,489
Factors of 303
List of positive integer factors of 303 that divides 303 without a remainder.
1,3,101,303
Greatest Common Factor
We found the factors 162,489,303 . The biggest common factor number is the GCF number.
So the greatest common factor 162,489,303 is 3.
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 31/162, 87/489, 518/303?
Answer: LCM of Numerators as per given numbers 31/162, 87/489, 518/303 is
LCM of Numerators i.e. for 31,87,518 is 1397046
GCF of denominators i.e. for 162,489,303 is 3.
Thus, LCM of Fractions is 465682.Finally, LCM of Fractions for 31/162, 87/489, 518/303 is 465682.