SOLUTION: How many common multiples of 3,5 and 7 are there between 1 and 5000? How we have to solve this type of question?i cant it? Please help me

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Question 1013192: How many common multiples of 3,5 and 7 are there between 1 and 5000?
How we have to solve this type of question?i cant it? Please help me
Found 2 solutions by KMST, MathTherapy:
Answer by KMST(5328) (Show Source):
You can put this solution on YOUR website!
The numbers 3,5,qnd 7 are prime numbers.
If a number is a multiple of 3, 5, and 7,
each of those prime numbers appears at least once in the prime factorization of the number.
The number is going to be .
In other words, it must be a multiple of .
(rounded),
so the numbers you are looking for are

and so on, all the way up to
.
There are obviously common multiples of 3, 5 and 7 between 1 and 5000.

Answer by MathTherapy(10556) (Show Source):
You can put this solution on YOUR website!

How many common multiples of 3,5 and 7 are there between 1 and 5000?
How we have to solve this type of question?i cant it? Please help me

LCM of 3, 5, and 7 is 3(5)(7), or 105
Therefore, the multiples start at 105, and end at , or less
= 47.61904762
Therefore, the number of multiples from 105 to 4,935, inclusive is: