To find the number of integers between 100 and 600 that are divisible by both 4 and 6, we first need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12.

Next, we find the smallest and largest multiples of 12 within the range 100 to 600.

The smallest multiple of 12 greater than 100 is 108 (12*9), and the largest multiple of 12 less than 600 is 588 (12*49).

Now, we find the number of multiples of 12 between 108 and 588.

This can be done by subtracting the smaller multiple from the larger one and then dividing by 12, and then adding 1.

So, (588-108)/12 + 1 = 480/12 + 1 = 40 + 1 = 41.

So, there are 41 integers between 100 and 600 that are divisible by both 4 and 6.

Therefore, the answer is b.41.

Question

To find the number of integers between 100 and 600 that are divisible by both 4 and 6, we first need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12.

Next, we find the smallest and largest multiples of 12 within the range 100 to 600.

The smallest multiple of 12 greater than 100 is 108 (12*9), and the largest multiple of 12 less than 600 is 588 (12*49).

Now, we find the number of multiples of 12 between 108 and 588.

This can be done by subtracting the smaller multiple from the larger one and then dividing by 12, and then adding 1.

So, (588-108)/12 + 1 = 480/12 + 1 = 40 + 1 = 41.

So, there are 41 integers between 100 and 600 that are divisible by both 4 and 6.

Therefore, the answer is b.41.

Knowee AI · Accepted Answer

To find the number of integers between 100 and 600 that are divisible by both 4 and 6, we first need to find the least common multiple (LCM) of 4 and 6. The LCM of 4 and 6 is 12.

Next, we find the smallest and largest multiples of 12 within the range 100 to 600.

The smallest multiple of 12 greater than 100 is 108 (12*9), and the largest multiple of 12 less than 600 is 588 (12*49).

Now, we find the number of multiples of 12 between 108 and 588.

This can be done by subtracting the smaller multiple from the larger one and then dividing by 12, and then adding 1.

So, (588-108)/12 + 1 = 480/12 + 1 = 40 + 1 = 41.

So, there are 41 integers between 100 and 600 that are divisible by both 4 and 6.

Therefore, the answer is b.41.

The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is:a.40b.41c.42d.50

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The number of integers in between 100 and 600, which are divisible by 4 and 6 both, is:

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