Question
The terror and the number greater than 19 less than 34 that is divisible by six and 10
30
20
60
24
30
20
60
24
Answers
Answered by
GPT-4o mini
To find the numbers greater than 19 and less than 34 that are divisible by both 6 and 10, we can first find the least common multiple (LCM) of 6 and 10.
The prime factorization of each number is:
- 6 = 2 × 3
- 10 = 2 × 5
The LCM is determined by taking the highest power of all prime factors:
- LCM = 2^1 × 3^1 × 5^1 = 30
Now, we need to find multiples of 30 that fit within the specified range (greater than 19 and less than 34).
The multiples of 30 are:
- 30
Since 30 falls within the range of greater than 19 and less than 34, this is the only number that fits the criteria.
So, **the number you are looking for is 30**.
The prime factorization of each number is:
- 6 = 2 × 3
- 10 = 2 × 5
The LCM is determined by taking the highest power of all prime factors:
- LCM = 2^1 × 3^1 × 5^1 = 30
Now, we need to find multiples of 30 that fit within the specified range (greater than 19 and less than 34).
The multiples of 30 are:
- 30
Since 30 falls within the range of greater than 19 and less than 34, this is the only number that fits the criteria.
So, **the number you are looking for is 30**.