Question

Find the greatest no of 5 digits exactly divisible by 2,4,6,8,10

Answer 1

Hi ,

Find the LCM of 2 , 4 , 6 , 8 , 10

2 | 2 , 4 , 6 , 8 , 10
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2 | 1 , 2 , 3 , 4 , 5
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2 | 1 , 1 , 3 , 2 , 5

LCM = 2 × 2 × 2 × 3 × 2 × 5

= 120

Now ,

Divide greatest 5 digit number with

120 ,.

99999/120 = 833 ( integral part )

Required number = 833 × 120

= 99960

Therefore ,

Greatest 5 digit number which is

exactly divisible by 2 , 4 , 6 , 8 , 10 is

99960

I hope this helps you.

: )