Question

Highest four digit number which is divisible by each number 16 36 45 48

Answer 1

Answer:

Step-by-step explanation:

The instructions to find the LCM of 16, 36, 45 and 48 are the next:

1. Decompose all numbers into prime factors

2. Write all numbers as the product of its prime factors

3. Choose the common and uncommon prime factors with the greatest exponent

4. Calculate the Least Common Multiple or LCM

On doing so you will get LCM 720.

Now look for 720 multiples.

720×1=720

Since 720×10=7200 start from that

720×11=7920

720×12=8640

720×13=9360. that's it

720×14=10080

Largest 4 digit number divisible by 16, 36, 45 and 48 is 9360.

Answer 2

Answer:

Number Which is divisible by 16,36,45,48=LCM of (16,36,45,18)

LCM of 16,36,45,48=720

Now, highest four digit number

=9999

i.e.9999=720×13+639

Therefore, highest four digit number exactly divisible by 16,36,45 and 48

=9999-639=9360