Least Common Multiple of 0.2, 0.7, 0.9, 0.414
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
LCM of decimals calculator gives the LCM of Decimal numbers given 0.2, 0.7, 0.9, 0.414 i.e. 289.8 the smallest number that divides all of them exactly.
Least Common Multiple (LCM) of 0.2, 0.7, 0.9, 0.414 is 289.8.
LCM(0.2, 0.7, 0.9, 0.414) = 289.8
LCM of 0.2, 0.7, 0.9, 0.414
Enter two or more decimals separated by "commas"
Ex: 0.2, 0.3 or 0.4, 0.5, 0.6
Given numbers are 0.2,0.7,0.9,0.414. The highest number of digits after the decimal point in the given case is 3
Thus, in order to get rid of the decimal point we need to multiply them with 1000. On doing so, they are as follows
0.2 x 1000 = 200
0.7 x 1000 = 700
0.9 x 1000 = 900
0.414 x 1000 = 414
On finding the LCM of 200,700,900,414 we get the Least Common Multiple as 289800
Least Common Multiple 0.2,0.7,0.9,0.414 is 289.8
| 2 | 200, 700, 900, 414 |
| 2 | 100, 350, 450, 207 |
| 3 | 50, 175, 225, 207 |
| 3 | 50, 175, 75, 69 |
| 5 | 50, 175, 25, 23 |
| 5 | 10, 35, 5, 23 |
| 2, 7, 1, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 5 x 2 x 7 x 1 x 23 = 289800
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 1000 as we used it to make the given numbers into integers.
On dividing the LCM 289800/1000 we get 289.8
Thus the Least Common Multiple of 0.2,0.7,0.9,0.414 is 289.8
Least Common Multiple of 200,700,900,414 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 200,700,900,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(200,700,900,414) = 2
common factors(in case of two or more numbers have common factors) = 90000
GCF(200,700,900,414) x common factors =2 x 90000 = 180000
LCM(200,700,900,414) = ( 200 × 700 × 900 × 414 ) / 180000
LCM(200,700,900,414) = 52164000000 / 180000
LCM(200,700,900,414) = 289800
LCM of Decimals Calculation Examples
Here are some samples of LCM of Decimals calculations.
Frequently Asked Questions on Decimal LCM of 0.2, 0.7, 0.9, 0.414
1. What is the LCM of 0.2, 0.7, 0.9, 0.414?
Answer: LCM of 0.2, 0.7, 0.9, 0.414 is 289.8.
2. How to Find the LCM of 0.2, 0.7, 0.9, 0.414?
Answer: Least Common Factor(LCM) of 0.2, 0.7, 0.9, 0.414 = 289.8
Step 1: First calculate the highest decimal number after decimal point.
Step 2: Then multiply all numbers with 1000.
Step 3: Then find LCM of 200,700,900,414. After getting LCM devide the result with 1000 the value that is previously multiplied.
So LCM(0.2, 0.7, 0.9, 0.414) = 289.8.