Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
LCM of decimals calculator gives the LCM of Decimal numbers given 10, 10.5, 12.5, 12.8 i.e. 33600 the smallest number that divides all of them exactly.
Least Common Multiple (LCM) of 10, 10.5, 12.5, 12.8 is 33600.
LCM(10, 10.5, 12.5, 12.8) = 33600
Enter two or more decimals separated by "commas"
Ex: 0.2, 0.3 or 0.4, 0.5, 0.6
Given numbers are 10,10.5,12.5,12.8. 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
10 x 10 = 100
10.5 x 10 = 105
12.5 x 10 = 125
12.8 x 10 = 128
On finding the LCM of 100,105,125,128 we get the Least Common Multiple as 336000
2 | 100, 105, 125, 128 |
2 | 50, 105, 125, 64 |
5 | 25, 105, 125, 32 |
5 | 5, 21, 25, 32 |
1, 21, 5, 32 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 5 x 1 x 21 x 5 x 32 = 336000
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 336000/10 we get 33600
Thus the Least Common Multiple of 10,10.5,12.5,12.8 is 33600
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 100,105,125,128 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(100,105,125,128) = 1
common factors(in case of two or more numbers have common factors) = 500
GCF(100,105,125,128) x common factors =1 x 500 = 500
LCM(100,105,125,128) = ( 100 × 105 × 125 × 128 ) / 500
LCM(100,105,125,128) = 168000000 / 500
LCM(100,105,125,128) = 336000
Here are some samples of LCM of Decimals calculations.
1. What is the LCM of 10, 10.5, 12.5, 12.8?
Answer: LCM of 10, 10.5, 12.5, 12.8 is 33600.
2. How to Find the LCM of 10, 10.5, 12.5, 12.8?
Answer: Least Common Factor(LCM) of 10, 10.5, 12.5, 12.8 = 33600
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 100,105,125,128. After getting LCM devide the result with 10 the value that is previously multiplied.
So LCM(10, 10.5, 12.5, 12.8) = 33600.