Question

find the greatest 4 digit number which is exactly divisible by 12,15,20and 35.and how.​

Answer 1

Answer:

The largest four digit number is 9999

Prime factors of 12 = 2 × 2 × 3

Prime factors of 15 = 3 × 5

Prime factors of 20 = 2 × 2 × 5

Prime factors of 35 = 5 × 7

LCM of 12, 15, 20 and 35 = 2 × 2 × 3 × 5 × 7

LCM of 12, 15, 20 and 35 = 420

Now,

We have to divide 9999 by 420

⇒ 9999/420

Then the remainder is 339

So,

The largest 4 digit number exactly divisible by 12, 15, 20 and 35 = 9999 – 339

⇒ 9660

∴ The largest four-digit number exactly divisible by 12, 15, 20, and 35 is 9660.

Answer 2

Answer:

9660 is the answer

Step-by-step explanation:

it is divisible by all the numbers