what number has factors 2 and 3 and 12 and 18 as multiples
Answers
Answer: ???
Step-by-step explanation: ???
Answer:
A number with 2, 3, 12, and 18 as its factors must be a multiple of these numbers' least common multiple (LCM). The LCM of 2, 3, 12, and 18 is their product, i.e.,
Step-by-step explanation:
The least common multiple (LCM) is the smallest positive integer that is a multiple of two or more numbers. The LCM is used to find the smallest number that can be divided evenly by two or more numbers. It is also called the smallest common multiple or the least common denominator.
To find the LCM, one can list out the multiples of each number and find the smallest multiple shared by all numbers. Alternatively, the LCM can be found by finding the highest power of each prime factor that appears in the prime factorization of each number and multiplying the prime factors together. The LCM is an important mathematical concept used in various fields, including arithmetic, number theory, and cryptography.
LCM (2, 3, 12, 18) = 2 * 3 * 12 * 18 = 2184
So, the number we are looking for must be a multiple of 2184. Any multiple of 2184 would satisfy the condition that 2, 3, 12, and 18 are its factors. For example, 2184 itself, 4368, 6552, and so on.
In conclusion, a number with factors 2, 3, 12, and 18 as multiples is any multiple of the LCM of these numbers, which is 2184. Any multiple of 2184 would satisfy the condition that 2, 3, 12, and 18 are its factors.
To learn more about LCM, click on the given link.
https://brainly.in/question/54179983
To learn more about multiplication, click on the given link.
https://brainly.in/question/16361991
#SPJ3