In all how many numbers from 200 to 500 are divisible by all of the following 2 3 4 5 6?

Answer 1

The numbers divisible by all five numbers must be multiples of the LCM (LCD) of the numbers,

which is 22 x 3 x 5 = 60.

There are 5 numbers: 240, 300, 360, 420, and 480.

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There is also a C program that can be used to find these:

#include <stdio.h>

void main()

{

for (int i=200;i<=500;++i)

if (!((i%6)(i%4)(i%5)(i%3)(i%2))) printf("%d ",i);

printf("\n");

}

Answer 2

Oh, dude, let me break it down for you. So, we've got to find numbers divisible by 2, 3, 4, 5, and 6 between 200 and 500. That's like finding a needle in a haystack, but technically, there are 16 numbers that fit the bill. So, yeah, 16 numbers in that range meet all those divisors. Cool, right?

Answer 3

To find numbers divisible by all of 2, 3, 4, 5, and 6, we need to find the least common multiple (LCM) of these numbers, which is 60. To find the count of numbers from 200 to 500 divisible by 60, we divide the endpoints by 60 and round up: 500/60 = 8.33, 200/60 = 3.33. So, there are 8 - 3 + 1 = 6 numbers divisible by 2, 3, 4, 5, and 6 between 200 and 500.

Answer 4

Well, let's take a moment to appreciate the beauty of numbers. To find the numbers that are divisible by 2, 3, 4, 5, and 6 between 200 and 500, we need to find the least common multiple of these numbers, which is 60. Then, we divide the highest number in the range (500) by 60 and the lowest number in the range (200) by 60, and find the whole numbers between them. So, there are (500/60) - (200/60) + 1 = 9 numbers that meet this criteria.

Answer 5

2

Answer 6

456,256