Q: What is the sum of numbers that are multiples of 4 less than 100?

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All nonzero numbers have an infinite amount of multiples.

There are 3 such numbers: 30, 60, 90.

The multiples of 5 that are also multiples of 6 are multiples of their LCM. The LCM of 5 and 6 is 30, so the question becomes which multiples of 30 are less than 100? The solution is the numbers: 30, 60, 90

1 and 1

50

1 and 2

To find prime numbers less than 100, the sieve of eratosthenes filters out 1 and all multiples of 2, 3, 5, and 7. All remaining numbers less than 100 are primes.

45, 54

There are 2 such numbers: 44, 88.

The greatest multiple of 6 that's less than 100 is (16 x 6) = 96.Since that's the 16th multiple of 6, there are 16 of them less than 100,which is 16% of the numbers from 1 to 100.

The LCM of two consecutive numbers is their product. The LCM of two consecutive multiples of 5 is their product divided by 5. Two consecutive numbers cannot be multiples of 5.

99