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How do you know that the numbers you find are common multiples?
If both of your numbers divide into them evenly with no remainder, they are common multiples.
What is the sum of all 2-digit multiples of 7 whose digits sum to a prime number?
-5
What are numbers that are between 55 and 101 with the multiples of 3 10 and 15?
To find numbers between 55 and 101 that are multiples of 3, 10, and 15, we need to find the numbers that are common multiples of these numbers within the given range. The common multiples of 3, 10, and 15 are numbers that are divisible by the least common multiple (LCM) of these numbers, which is 30. Therefore, the numbers between 55 and 101 that are multiples of 3, 10, and 15 are 60, 90, and any other multiples of 30 within that range.
How many numbers between 10 to 50 are multiples of 3 and 5?
To find the numbers between 10 and 50 that are multiples of both 3 and 5, we need to find the numbers that are multiples of the least common multiple of 3 and 5, which is 15. The multiples of 15 between 10 and 50 are 15, 30, and 45. Therefore, there are 3 numbers between 10 and 50 that are multiples of both 3 and 5.
How many whole numbers between 1 and 500 are divisible by 6 but are not divisible by 8?
To find the number of whole numbers between 1 and 500 that are divisible by 6 but not by 8, we need to find the numbers that are multiples of 6 and not multiples of 8. First, we find the multiples of 6 by dividing 500 by 6, which gives us 83 whole multiples. Next, we find the multiples of 8 by dividing 500 by 8, which gives us 62 whole multiples. To find the numbers that are multiples of 6 but not of 8, we subtract the common multiples of 6 and 8, which is 24, from the total multiples of 6, resulting in 83 - 24 = 59 whole numbers between 1 and 500 that are divisible by 6 but not by 8.
