Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/985, 70/450, 591/612 quickly i.e. 330960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/985, 70/450, 591/612 is 330960.
LCM(16/985, 70/450, 591/612) = 330960
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/985,70/450,591/612
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 16,70,591
Least Common Multiple of Numerators i.e. LCM of 16,70,591 is 330960.
GCF of Denominators means GCF of 985,450,612 as per the given fractions.
GCF of 985,450,612 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,70,591
2 | 16, 70, 591 |
8, 35, 591 |
∴ So the LCM of the given numbers is 2 x 8 x 35 x 591 = 330960
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 16,70,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,70,591) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(16,70,591) x common factors =1 x 2 = 2
LCM(16,70,591) = ( 16 × 70 × 591 ) / 2
LCM(16,70,591) = 661920 / 2
LCM(16,70,591) = 330960
Lets's calculate GCF of 985,450,612
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 330960/1
Therefore the LCM of Fractions 16/985,70/450,591/612 is 330960
Factors of 985
List of positive integer factors of 985 that divides 985 without a remainder.
1,5,197,985
Factors of 450
List of positive integer factors of 450 that divides 450 without a remainder.
1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450
Factors of 612
List of positive integer factors of 612 that divides 612 without a remainder.
1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612
Greatest Common Factor
We found the factors 985,450,612 . The biggest common factor number is the GCF number.
So the greatest common factor 985,450,612 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 16/985, 70/450, 591/612?
Answer: LCM of Numerators as per given numbers 16/985, 70/450, 591/612 is
LCM of Numerators i.e. for 16,70,591 is 330960
GCF of denominators i.e. for 985,450,612 is 1.
Thus, LCM of Fractions is 330960.Finally, LCM of Fractions for 16/985, 70/450, 591/612 is 330960.