Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
LCM of decimals calculator gives the LCM of Decimal numbers given 13.5, 18, 22.5 i.e. 270 the smallest number that divides all of them exactly.
Least Common Multiple (LCM) of 13.5, 18, 22.5 is 270.
LCM(13.5, 18, 22.5) = 270
Enter two or more decimals separated by "commas"
Ex: 0.2, 0.3 or 0.4, 0.5, 0.6
Given numbers are 13.5,18,22.5. The highest number of digits after the decimal point in the given case is 1
Thus, in order to get rid of the decimal point we need to multiply them with 10. On doing so, they are as follows
13.5 x 10 = 135
18 x 10 = 180
22.5 x 10 = 225
On finding the LCM of 135,180,225 we get the Least Common Multiple as 2700
3 | 135, 180, 225 |
3 | 45, 60, 75 |
5 | 15, 20, 25 |
3, 4, 5 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 3 x 4 x 5 = 2700
Divide the result you got with the number you multiplied to make it as integer in the first step. In this case, we need to divide by 10 as we used it to make the given numbers into integers.
On dividing the LCM 2700/10 we get 270
Thus the Least Common Multiple of 13.5,18,22.5 is 270
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 135,180,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,180,225) = 45
common factors(in case of two or more numbers have common factors) = 45
GCF(135,180,225) x common factors =45 x 45 = 2025
LCM(135,180,225) = ( 135 × 180 × 225 ) / 2025
LCM(135,180,225) = 5467500 / 2025
LCM(135,180,225) = 2700
Here are some samples of LCM of Decimals calculations.
1. What is the LCM of 13.5, 18, 22.5?
Answer: LCM of 13.5, 18, 22.5 is 270.
2. How to Find the LCM of 13.5, 18, 22.5?
Answer: Least Common Factor(LCM) of 13.5, 18, 22.5 = 270
Step 1: First calculate the highest decimal number after decimal point.
Step 2: Then multiply all numbers with 10.
Step 3: Then find LCM of 135,180,225. After getting LCM devide the result with 10 the value that is previously multiplied.
So LCM(13.5, 18, 22.5) = 270.