Raina must choose a number between 55 and 101 that is a multiple of 2, 8 and 10. write all the numbers that she could choose. if there is more than one number, separate them with commas.

The only possible number is .

Step-by-step explanation:

The number in question needs to be a multiple of all three of , , and . As a result, it must also be a multiple of the least common multiplier (lcm) of the three number.

Start by finding the least common multiplier of the three numbers.

Factor each number into its prime components:

The only prime factors are and .

Therefore, the least common multiplier of the three number should be the product of and . That's equal to .

In other words, the number (or numbers) in question could be written in the form , where is an integer.

The question requires that this number be between and . In other words,

.

The goal is to find the possible values of . Note that from integer division by ,

The inequality becomes:

.

However,

Hence,

.

.

Divide by the positive number to obtain:

.

Since is an integers, .

Indeed, is between and .

Therefore, is the number in question.

i dont know

step-by-step explanation:

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