Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 152/82, 153/18, 481/809 quickly i.e. 11186136 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 152/82, 153/18, 481/809 is 11186136.
LCM(152/82, 153/18, 481/809) = 11186136
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 152/82,153/18,481/809
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 152,153,481
Least Common Multiple of Numerators i.e. LCM of 152,153,481 is 11186136.
GCF of Denominators means GCF of 82,18,809 as per the given fractions.
GCF of 82,18,809 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 152,153,481
Given numbers has no common factors except 1. So, there LCM is their product i.e 11186136
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 152,153,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(152,153,481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(152,153,481) x common factors =1 x 1 = 1
LCM(152,153,481) = ( 152 × 153 × 481 ) / 1
LCM(152,153,481) = 11186136 / 1
LCM(152,153,481) = 11186136
Lets's calculate GCF of 82,18,809
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11186136/1
Therefore the LCM of Fractions 152/82,153/18,481/809 is 11186136
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 18
List of positive integer factors of 18 that divides 18 without a remainder.
1,2,3,6,9,18
Factors of 809
List of positive integer factors of 809 that divides 809 without a remainder.
1,809
Greatest Common Factor
We found the factors 82,18,809 . The biggest common factor number is the GCF number.
So the greatest common factor 82,18,809 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 152/82, 153/18, 481/809?
Answer: LCM of Numerators as per given numbers 152/82, 153/18, 481/809 is
LCM of Numerators i.e. for 152,153,481 is 11186136
GCF of denominators i.e. for 82,18,809 is 1.
Thus, LCM of Fractions is 11186136.Finally, LCM of Fractions for 152/82, 153/18, 481/809 is 11186136.