write the number less than 50, which are multiple of 2 as well as 3
The Correct Answer and Explanation is:
Correct Answer:
The numbers less than 50 that are multiples of both 2 and 3 are:
6, 12, 18, 24, 30, 36, 42, 48
Explanation:
To find numbers that meet both conditions — being less than 50 and being divisible by both 2 and 3 — it is important to identify a common multiple of these two numbers. The smallest common multiple of 2 and 3 is their Least Common Multiple (LCM).
The LCM of 2 and 3 is 6, since 6 is the smallest number that both 2 and 3 divide evenly. Any number divisible by both 2 and 3 must be a multiple of 6.
Now, listing the multiples of 6 that are less than 50 gives:
- 6 × 1 = 6
- 6 × 2 = 12
- 6 × 3 = 18
- 6 × 4 = 24
- 6 × 5 = 30
- 6 × 6 = 36
- 6 × 7 = 42
- 6 × 8 = 48
- 6 × 9 = 54 → this exceeds 50, so it is not included
Thus, all valid numbers are: 6, 12, 18, 24, 30, 36, 42, 48
Each of these values is a multiple of both 2 and 3, because:
- Dividing any of them by 2 results in an integer (no remainder)
- Dividing any of them by 3 also results in an integer
This means they meet both criteria. Additionally, they are all under 50. Therefore, this list fully satisfies the question’s conditions. This method ensures that no number is missed and no extra numbers are mistakenly included.
