Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 163/366, 2181/733 quickly i.e. 355503 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 163/366, 2181/733 is 355503.
LCM(163/366, 2181/733) = 355503
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 163/366,2181/733
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 163,2181
Least Common Multiple of Numerators i.e. LCM of 163,2181 is 355503.
GCF of Denominators means GCF of 366,733 as per the given fractions.
GCF of 366,733 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 163,2181
Given numbers has no common factors except 1. So, there LCM is their product i.e 355503
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 163,2181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(163,2181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(163,2181) x common factors =1 x 1 = 1
LCM(163,2181) = ( 163 × 2181 ) / 1
LCM(163,2181) = 355503 / 1
LCM(163,2181) = 355503
Lets's calculate GCF of 366,733
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355503/1
Therefore the LCM of Fractions 163/366,2181/733 is 355503
Factors of 366
List of positive integer factors of 366 that divides 366 without a remainder.
1,2,3,6,61,122,183,366
Factors of 733
List of positive integer factors of 733 that divides 733 without a remainder.
1,733
Greatest Common Factor
We found the factors 366,733 . The biggest common factor number is the GCF number.
So the greatest common factor 366,733 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 163/366, 2181/733?
Answer: LCM of Numerators as per given numbers 163/366, 2181/733 is
LCM of Numerators i.e. for 163,2181 is 355503
GCF of denominators i.e. for 366,733 is 1.
Thus, LCM of Fractions is 355503.Finally, LCM of Fractions for 163/366, 2181/733 is 355503.