Least Common Multiple of 30, 24, 20
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
LCM of decimals calculator gives the LCM of Decimal numbers given 30, 24, 20 i.e. 120 the smallest number that divides all of them exactly.
Least Common Multiple (LCM) of 30, 24, 20 is 120.
LCM(30, 24, 20) = 120
LCM of 30, 24, 20
Enter two or more decimals separated by "commas"
Ex: 0.2, 0.3 or 0.4, 0.5, 0.6
Given numbers are 30,24,20. 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
30 x 10 = 300
24 x 10 = 240
20 x 10 = 200
On finding the LCM of 300,240,200 we get the Least Common Multiple as 1200
Least Common Multiple 30,24,20 is 120
| 2 | 300, 240, 200 |
| 2 | 150, 120, 100 |
| 2 | 75, 60, 50 |
| 3 | 75, 30, 25 |
| 5 | 25, 10, 25 |
| 5 | 5, 2, 5 |
| 1, 2, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 5 x 5 x 1 x 2 x 1 = 1200
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 1200/10 we get 120
Thus the Least Common Multiple of 30,24,20 is 120
Least Common Multiple of 300,240,200 with GCF Formula
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 300,240,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(300,240,200) = 20
common factors(in case of two or more numbers have common factors) = 600
GCF(300,240,200) x common factors =20 x 600 = 12000
LCM(300,240,200) = ( 300 × 240 × 200 ) / 12000
LCM(300,240,200) = 14400000 / 12000
LCM(300,240,200) = 1200
LCM of Decimals Calculation Examples
Here are some samples of LCM of Decimals calculations.
Frequently Asked Questions on Decimal LCM of 30, 24, 20
1. What is the LCM of 30, 24, 20?
Answer: LCM of 30, 24, 20 is 120.
2. How to Find the LCM of 30, 24, 20?
Answer: Least Common Factor(LCM) of 30, 24, 20 = 120
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 300,240,200. After getting LCM devide the result with 10 the value that is previously multiplied.
So LCM(30, 24, 20) = 120.