Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 180/385, 302/233 quickly i.e. 27180 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 180/385, 302/233 is 27180.
LCM(180/385, 302/233) = 27180
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 180/385,302/233
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 180,302
Least Common Multiple of Numerators i.e. LCM of 180,302 is 27180.
GCF of Denominators means GCF of 385,233 as per the given fractions.
GCF of 385,233 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 180,302
2 | 180, 302 |
90, 151 |
∴ So the LCM of the given numbers is 2 x 90 x 151 = 27180
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 180,302 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,302) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(180,302) x common factors =2 x 1 = 2
LCM(180,302) = ( 180 × 302 ) / 2
LCM(180,302) = 54360 / 2
LCM(180,302) = 27180
Lets's calculate GCF of 385,233
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27180/1
Therefore the LCM of Fractions 180/385,302/233 is 27180
Factors of 385
List of positive integer factors of 385 that divides 385 without a remainder.
1,5,7,11,35,55,77,385
Factors of 233
List of positive integer factors of 233 that divides 233 without a remainder.
1,233
Greatest Common Factor
We found the factors 385,233 . The biggest common factor number is the GCF number.
So the greatest common factor 385,233 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 180/385, 302/233?
Answer: LCM of Numerators as per given numbers 180/385, 302/233 is
LCM of Numerators i.e. for 180,302 is 27180
GCF of denominators i.e. for 385,233 is 1.
Thus, LCM of Fractions is 27180.Finally, LCM of Fractions for 180/385, 302/233 is 27180.