Q: How many numbers from 1 to 6000 are multiples of both 58 and 100?

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Four. 24 and its multiples.

All the multiples of 4 are also multiples of 2.

There are eleven such numbers.Get the common multiple of those numbers. All other common multiples will be multiples of this common multiple; that is, you can multiply the common multiple by 1, by 2, by 3, etc. to get additional numbers that are multiples of both numbers.

There are three numbers between 10 and 50 which are divisible by both 3 and 5. All numbers that are multiples of 3 and 5 are the multiples of the lowest common multiples (lcm) of 3 and 5 which is 15. The multiples of 15 between 10 and 50 are {15, 30 and 45}, thus there are 3 numbers.

33 multiples of 3 10 multiples of 10 -3 multiples of both 40 total

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Six numbers

8 of them.

There is 67

Four. 24 and its multiples.

3

All the multiples of 4 are also multiples of 2.

There are 67 multiples of 6 and 50 multiples of 8 in that range. Their total, 117, will include numbers that are both.

There are eleven such numbers.Get the common multiple of those numbers. All other common multiples will be multiples of this common multiple; that is, you can multiply the common multiple by 1, by 2, by 3, etc. to get additional numbers that are multiples of both numbers.

The lists of numbers divisible by and not divisible by 600 are both infinite.

Three of them.

There are three numbers between 10 and 50 which are divisible by both 3 and 5. All numbers that are multiples of 3 and 5 are the multiples of the lowest common multiples (lcm) of 3 and 5 which is 15. The multiples of 15 between 10 and 50 are {15, 30 and 45}, thus there are 3 numbers.

33 multiples of 3 10 multiples of 10 -3 multiples of both 40 total