What is the least number that is divisible by all the numbers from 1 to 10 (inclusive)?

Answered on : 2024-01-23

To find the least common multiple (LCM) of numbers from 1 to 10, you can follow these steps:

1. List the prime factors of each number from 1 to 10.

- Prime factors:

- 1 = 1

- 2 = 2

- 3 = 3

- 4 = 22

- 5 = 5

- 6 = 2 * 3

- 7 = 7

- 8 = 23

- 9 = 32

- 10 = 2 * 5

2. Take the highest power of each prime factor that appears in the factorization of any of the numbers.

- LCM = 23 * 32 * 5 * 7 = 2520

So, the least number that is divisible by all the numbers from 1 to 10 (inclusive) is 2520. This number is the smallest common multiple that satisfies the condition [5].

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