Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 481/342, 450/773 quickly i.e. 216450 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 481/342, 450/773 is 216450.
LCM(481/342, 450/773) = 216450
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 481/342,450/773
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 481,450
Least Common Multiple of Numerators i.e. LCM of 481,450 is 216450.
GCF of Denominators means GCF of 342,773 as per the given fractions.
GCF of 342,773 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 481,450
Given numbers has no common factors except 1. So, there LCM is their product i.e 216450
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 481,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(481,450) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(481,450) x common factors =1 x 1 = 1
LCM(481,450) = ( 481 × 450 ) / 1
LCM(481,450) = 216450 / 1
LCM(481,450) = 216450
Lets's calculate GCF of 342,773
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 216450/1
Therefore the LCM of Fractions 481/342,450/773 is 216450
Factors of 342
List of positive integer factors of 342 that divides 342 without a remainder.
1,2,3,6,9,18,19,38,57,114,171,342
Factors of 773
List of positive integer factors of 773 that divides 773 without a remainder.
1,773
Greatest Common Factor
We found the factors 342,773 . The biggest common factor number is the GCF number.
So the greatest common factor 342,773 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 481/342, 450/773?
Answer: LCM of Numerators as per given numbers 481/342, 450/773 is
LCM of Numerators i.e. for 481,450 is 216450
GCF of denominators i.e. for 342,773 is 1.
Thus, LCM of Fractions is 216450.Finally, LCM of Fractions for 481/342, 450/773 is 216450.