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Question

A number is divisible by both $$5$$ and $$12$$. By which other number will that number be always divisible?

Solution
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Factors of $$5=1, 5$$
Factors of $$12=1, 2, 3, 4, 6, 12$$
As the common factor of these numbers is $$1$$, the given two numbers are co-prime and the number will also be divisible by their product, i.e., $$60$$, and the factors of $$60$$, i.e., $$1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60$$.

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