Question

Find the greatest 4-digit number exactly divisible by 10, 15, 20


pls urgent​

Answer 1

Answer:

Any multiple of 60 will be divisible by 10, 15 and 20.

10 x 6 = 60

15 x 4 = 60

20 x 3 = 60

60, therefore is the Least common multiple of numbers 10, 15, 20.

Now, the greatest 4-digit number is 9999.

So the number closest to (but less than) 9999 that is a perfect multiple of 60 will be the answer.

By checking all the multiples of 60 until it crosses 9999, we can find our answer. We can see

60 x 166 = 9960

60 x 167 = 10020

Therefore, your answer is 9960.

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