Find The Biggest

Number Theory Level 2

Find the biggest number of six digits that is divisible by 15,20 and 30 exactly.


The answer is 999960.

Gaurav Gupta by Gaurav Gupta , 22, India

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1 solution

The smallest number that divide by 15, 20 and 30 exactly is 60. Then, the biggest number of six digits must be 999960 since 900 and also 999900 also divide by 15, 20 and 30 exactly

2 Helpful 0 Interesting 0 Brilliant 0 Confused

Note that the correct (English) phrasing should be "is divisible by", as opposed to "that divide". I've updated the question as such.

The largest number that divides 15, 20 and 30, is just 1.

Calvin Lin Staff - 6 years, 10 months ago

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wouldn't 5 work as well?

J C - 6 years, 8 months ago

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