Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 803/365, 365/943, 132/180 quickly i.e. 48180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 803/365, 365/943, 132/180 is 48180.
LCM(803/365, 365/943, 132/180) = 48180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 803/365,365/943,132/180
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 803,365,132
Least Common Multiple of Numerators i.e. LCM of 803,365,132 is 48180.
GCF of Denominators means GCF of 365,943,180 as per the given fractions.
GCF of 365,943,180 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 803,365,132
11 | 803, 365, 132 |
73 | 73, 365, 12 |
1, 5, 12 |
∴ So the LCM of the given numbers is 11 x 73 x 1 x 5 x 12 = 48180
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 803,365,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,365,132) = 1
common factors(in case of two or more numbers have common factors) = 803
GCF(803,365,132) x common factors =1 x 803 = 803
LCM(803,365,132) = ( 803 × 365 × 132 ) / 803
LCM(803,365,132) = 38688540 / 803
LCM(803,365,132) = 48180
Lets's calculate GCF of 365,943,180
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48180/1
Therefore the LCM of Fractions 803/365,365/943,132/180 is 48180
Factors of 365
List of positive integer factors of 365 that divides 365 without a remainder.
1,5,73,365
Factors of 943
List of positive integer factors of 943 that divides 943 without a remainder.
1,23,41,943
Factors of 180
List of positive integer factors of 180 that divides 180 without a remainder.
1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180
Greatest Common Factor
We found the factors 365,943,180 . The biggest common factor number is the GCF number.
So the greatest common factor 365,943,180 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 803/365, 365/943, 132/180?
Answer: LCM of Numerators as per given numbers 803/365, 365/943, 132/180 is
LCM of Numerators i.e. for 803,365,132 is 48180
GCF of denominators i.e. for 365,943,180 is 1.
Thus, LCM of Fractions is 48180.Finally, LCM of Fractions for 803/365, 365/943, 132/180 is 48180.