Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
LCM of decimals calculator gives the LCM of Decimal numbers given 3, .3, .33, .333 i.e. 3663 the smallest number that divides all of them exactly.
Least Common Multiple (LCM) of 3, .3, .33, .333 is 3663.
LCM(3, .3, .33, .333) = 3663
Enter two or more decimals separated by "commas"
Ex: 0.2, 0.3 or 0.4, 0.5, 0.6
Given numbers are 3,.3,.33,.333. 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
3 x 1000 = 3000
.3 x 1000 = 300
.33 x 1000 = 330
.333 x 1000 = 333
On finding the LCM of 3000,300,330,333 we get the Least Common Multiple as 3663000
2 | 3000, 300, 330, 333 |
2 | 1500, 150, 165, 333 |
3 | 750, 75, 165, 333 |
5 | 250, 25, 55, 111 |
5 | 50, 5, 11, 111 |
10, 1, 11, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 5 x 10 x 1 x 11 x 111 = 3663000
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 3663000/1000 we get 3663
Thus the Least Common Multiple of 3,.3,.33,.333 is 3663
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 3000,300,330,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3000,300,330,333) = 3
common factors(in case of two or more numbers have common factors) = 9000
GCF(3000,300,330,333) x common factors =3 x 9000 = 27000
LCM(3000,300,330,333) = ( 3000 × 300 × 330 × 333 ) / 27000
LCM(3000,300,330,333) = 98901000000 / 27000
LCM(3000,300,330,333) = 3663000
Here are some samples of LCM of Decimals calculations.
1. What is the LCM of 3, .3, .33, .333?
Answer: LCM of 3, .3, .33, .333 is 3663.
2. How to Find the LCM of 3, .3, .33, .333?
Answer: Least Common Factor(LCM) of 3, .3, .33, .333 = 3663
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 3000,300,330,333. After getting LCM devide the result with 1000 the value that is previously multiplied.
So LCM(3, .3, .33, .333) = 3663.