What is the least number divisible by 2,3,5,and 8?

2, 4, 6, 8, 10, 12, 14, 16, 18, 20 . . .

3, 6, 9, 12, 15, 18 . . .

5, 10, 15 . . .

8, 16 . . .

Continue these sequences until you find a common number.

Find L.C.M. of numbers:

2=2
3=3
5=5
8=2*2*2
Least number is = 2*3*5*2*2 =120
Answer is = 120

To find the least number divisible by 2, 3, 5, and 8, we need to find the least common multiple (LCM) of these numbers. The LCM is the smallest multiple that is divisible by all the given numbers.

First, let's find the prime factorization of each number:
- 2 = 2^1
- 3 = 3^1
- 5 = 5^1
- 8 = 2^3

To find the LCM, we take the highest power of each prime factor. Therefore, the LCM is equal to 2^3 * 3^1 * 5^1 = 2 * 2 * 2 * 3 * 5 = 120.

So, the least number divisible by 2, 3, 5, and 8 is 120.

To solve it quickly, you can also use the LCM function on a scientific calculator or use an online LCM calculator, which will give you the answer directly.