Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 13/562, 481/167, 173/989 quickly i.e. 83213 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 13/562, 481/167, 173/989 is 83213.
LCM(13/562, 481/167, 173/989) = 83213
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 13/562,481/167,173/989
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 13,481,173
Least Common Multiple of Numerators i.e. LCM of 13,481,173 is 83213.
GCF of Denominators means GCF of 562,167,989 as per the given fractions.
GCF of 562,167,989 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 13,481,173
13 | 13, 481, 173 |
1, 37, 173 |
∴ So the LCM of the given numbers is 13 x 1 x 37 x 173 = 83213
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 13,481,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(13,481,173) = 1
common factors(in case of two or more numbers have common factors) = 13
GCF(13,481,173) x common factors =1 x 13 = 13
LCM(13,481,173) = ( 13 × 481 × 173 ) / 13
LCM(13,481,173) = 1081769 / 13
LCM(13,481,173) = 83213
Lets's calculate GCF of 562,167,989
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83213/1
Therefore the LCM of Fractions 13/562,481/167,173/989 is 83213
Factors of 562
List of positive integer factors of 562 that divides 562 without a remainder.
1,2,281,562
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 989
List of positive integer factors of 989 that divides 989 without a remainder.
1,23,43,989
Greatest Common Factor
We found the factors 562,167,989 . The biggest common factor number is the GCF number.
So the greatest common factor 562,167,989 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 13/562, 481/167, 173/989?
Answer: LCM of Numerators as per given numbers 13/562, 481/167, 173/989 is
LCM of Numerators i.e. for 13,481,173 is 83213
GCF of denominators i.e. for 562,167,989 is 1.
Thus, LCM of Fractions is 83213.Finally, LCM of Fractions for 13/562, 481/167, 173/989 is 83213.