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

1 answer

Answer

1292989

2026-07-10 02:40

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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");

}

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