Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 160/16, 312/69, 162/828 quickly i.e. 168480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 160/16, 312/69, 162/828 is 168480.
LCM(160/16, 312/69, 162/828) = 168480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 160/16,312/69,162/828
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 160,312,162
Least Common Multiple of Numerators i.e. LCM of 160,312,162 is 168480.
GCF of Denominators means GCF of 16,69,828 as per the given fractions.
GCF of 16,69,828 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 160,312,162
2 | 160, 312, 162 |
2 | 80, 156, 81 |
2 | 40, 78, 81 |
3 | 20, 39, 81 |
20, 13, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 20 x 13 x 27 = 168480
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 160,312,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(160,312,162) = 2
common factors(in case of two or more numbers have common factors) = 24
GCF(160,312,162) x common factors =2 x 24 = 48
LCM(160,312,162) = ( 160 × 312 × 162 ) / 48
LCM(160,312,162) = 8087040 / 48
LCM(160,312,162) = 168480
Lets's calculate GCF of 16,69,828
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 168480/1
Therefore the LCM of Fractions 160/16,312/69,162/828 is 168480
Factors of 16
List of positive integer factors of 16 that divides 16 without a remainder.
1,2,4,8,16
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 828
List of positive integer factors of 828 that divides 828 without a remainder.
1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828
Greatest Common Factor
We found the factors 16,69,828 . The biggest common factor number is the GCF number.
So the greatest common factor 16,69,828 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 160/16, 312/69, 162/828?
Answer: LCM of Numerators as per given numbers 160/16, 312/69, 162/828 is
LCM of Numerators i.e. for 160,312,162 is 168480
GCF of denominators i.e. for 16,69,828 is 1.
Thus, LCM of Fractions is 168480.Finally, LCM of Fractions for 160/16, 312/69, 162/828 is 168480.