Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 143/55, 143/46, 483/42 quickly i.e. 69069 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 143/55, 143/46, 483/42 is 69069.
LCM(143/55, 143/46, 483/42) = 69069
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 143/55,143/46,483/42
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 143,143,483
Least Common Multiple of Numerators i.e. LCM of 143,143,483 is 69069.
GCF of Denominators means GCF of 55,46,42 as per the given fractions.
GCF of 55,46,42 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 143,143,483
11 | 143, 143, 483 |
13 | 13, 13, 483 |
1, 1, 483 |
∴ So the LCM of the given numbers is 11 x 13 x 1 x 1 x 483 = 69069
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 143,143,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,143,483) = 1
common factors(in case of two or more numbers have common factors) = 143
GCF(143,143,483) x common factors =1 x 143 = 143
LCM(143,143,483) = ( 143 × 143 × 483 ) / 143
LCM(143,143,483) = 9876867 / 143
LCM(143,143,483) = 69069
Lets's calculate GCF of 55,46,42
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 69069/1
Therefore the LCM of Fractions 143/55,143/46,483/42 is 69069
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 42
List of positive integer factors of 42 that divides 42 without a remainder.
1,2,3,6,7,14,21,42
Greatest Common Factor
We found the factors 55,46,42 . The biggest common factor number is the GCF number.
So the greatest common factor 55,46,42 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 143/55, 143/46, 483/42?
Answer: LCM of Numerators as per given numbers 143/55, 143/46, 483/42 is
LCM of Numerators i.e. for 143,143,483 is 69069
GCF of denominators i.e. for 55,46,42 is 1.
Thus, LCM of Fractions is 69069.Finally, LCM of Fractions for 143/55, 143/46, 483/42 is 69069.