Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6/162, 32/592, 17/720 quickly i.e. 816 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6/162, 32/592, 17/720 is 816.
LCM(6/162, 32/592, 17/720) = 816
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6/162,32/592,17/720
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 6,32,17
Least Common Multiple of Numerators i.e. LCM of 6,32,17 is 1632.
GCF of Denominators means GCF of 162,592,720 as per the given fractions.
GCF of 162,592,720 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6,32,17
2 | 6, 32, 17 |
3, 16, 17 |
∴ So the LCM of the given numbers is 2 x 3 x 16 x 17 = 1632
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 6,32,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6,32,17) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(6,32,17) x common factors =1 x 2 = 2
LCM(6,32,17) = ( 6 × 32 × 17 ) / 2
LCM(6,32,17) = 3264 / 2
LCM(6,32,17) = 1632
Lets's calculate GCF of 162,592,720
2 | 162, 592, 720 |
81, 296, 360 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1632/2
Therefore the LCM of Fractions 6/162,32/592,17/720 is 816
Factors of 162
List of positive integer factors of 162 that divides 162 without a remainder.
1,2,3,6,9,18,27,54,81,162
Factors of 592
List of positive integer factors of 592 that divides 592 without a remainder.
1,2,4,8,16,37,74,148,296,592
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Greatest Common Factor
We found the factors 162,592,720 . The biggest common factor number is the GCF number.
So the greatest common factor 162,592,720 is 2.
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 6/162, 32/592, 17/720?
Answer: LCM of Numerators as per given numbers 6/162, 32/592, 17/720 is
LCM of Numerators i.e. for 6,32,17 is 1632
GCF of denominators i.e. for 162,592,720 is 2.
Thus, LCM of Fractions is 816.Finally, LCM of Fractions for 6/162, 32/592, 17/720 is 816.