Question

2. Find the greatest 5-digit number divisible by 16,
48 and 144.
​

Answer 1

Answer:

99836

Step-by-step explanation:

LCM of 16,48,144 = 144

Greatest 5 digit number = 99999.

99999/144 = Q = 694 R = 63

Greatest 5 digit Numbers which divides 16,48 and 144 = 99999 – 63 = 99936

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Answer 2

The greatest 5-digit number divisible by 16, 48 and 144 is 99936

Given:

Numbers 16, 48 and 144

​To find:

Find the greatest 5-digit number divisible by 16, 48 and 144

Solution:

The greatest 5-digit number = 99999

To find the greatest 5-digit number which is divisible by 16, 48 and 144

Find LCM 16, 48 and 144

write 16, 48 and 144 as product of prime factor

16 = 2 × 2 × 2 × 2

48 = 2 x 2 x 2 x 2 x 3

144 = 2 x 2 x 2 x 2 x 3 x 3

LCM (16, 48, 144) = 2 x 2 x 2 x 2 x 3 x 3 = 144  

When we divide 99999 by 144

⇒ $\frac{ 99999}{144} =$ 694.4375  

Now multiply 144 with 694

⇒ 144 × 694 = 99936

The greatest 5-digit number divisible by 16, 48 and 144 is 99936

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