Question

What is the smallest 5 digit number which is exactly divisible by 15, 24 and 40

Answer 1

Answer:

120

Step-by-step explanation:

Consider the prime factors:

15 = 3 * 5

24 = 2^3 * 3

40 = 2^3 * 5

The smallest number that is a multiple of all of these would then be:

2^3 * 3 * 5 = 120

The smallest 5-digit number is 10,000 but you need to find the smallest 5-digit that is a multiple of 120.

Dividing 10,000 by 120 gives 83.333…, so the answer must be 84 times 120.

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Answer 2

$\large \mapsto \huge\boxed{ \rm \red{Question}}$

What is the smallest 5 digit number which is exactly divisible by 15, 24 and 40.

$\large \mapsto\huge\boxed{ \rm \green{Answer}}$

LCM of 15,24 and 40 is 120

smallest number of five digit =10000

on dividing 10000 by 120 we get remainder 40

Now add (120-40) =80 to the number to make it a number of five digit

required answer will be (10000+80)=10080.

$\large \mapsto \huge\boxed{ \rm \purple{Hence \: Verified :) }}$