Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 450/62, 566/73, 850/159 quickly i.e. 2164950 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 450/62, 566/73, 850/159 is 2164950.
LCM(450/62, 566/73, 850/159) = 2164950
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 450/62,566/73,850/159
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 450,566,850
Least Common Multiple of Numerators i.e. LCM of 450,566,850 is 2164950.
GCF of Denominators means GCF of 62,73,159 as per the given fractions.
GCF of 62,73,159 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 450,566,850
2 | 450, 566, 850 |
5 | 225, 283, 425 |
5 | 45, 283, 85 |
9, 283, 17 |
∴ So the LCM of the given numbers is 2 x 5 x 5 x 9 x 283 x 17 = 2164950
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 450,566,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(450,566,850) = 2
common factors(in case of two or more numbers have common factors) = 50
GCF(450,566,850) x common factors =2 x 50 = 100
LCM(450,566,850) = ( 450 × 566 × 850 ) / 100
LCM(450,566,850) = 216495000 / 100
LCM(450,566,850) = 2164950
Lets's calculate GCF of 62,73,159
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2164950/1
Therefore the LCM of Fractions 450/62,566/73,850/159 is 2164950
Factors of 62
List of positive integer factors of 62 that divides 62 without a remainder.
1,2,31,62
Factors of 73
List of positive integer factors of 73 that divides 73 without a remainder.
1,73
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 62,73,159 . The biggest common factor number is the GCF number.
So the greatest common factor 62,73,159 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 450/62, 566/73, 850/159?
Answer: LCM of Numerators as per given numbers 450/62, 566/73, 850/159 is
LCM of Numerators i.e. for 450,566,850 is 2164950
GCF of denominators i.e. for 62,73,159 is 1.
Thus, LCM of Fractions is 2164950.Finally, LCM of Fractions for 450/62, 566/73, 850/159 is 2164950.