<ol class="abc-list"><li><div class="list-item-paragraph">Express $3780$ as the product of its prime factors.</div></li><li><div class="list-item-paragraph">Find the smallest integer $p$ such that $3780p$ is a perfect cube.</div></li><li><div class="list-item-paragraph">Find the smallest integer $q$ such that $3780q$ is a multiple of $350$.</div></li><li><div class="list-item-paragraph">The lowest common multiple of $3780$ and integer $k$ is $7560$. The highest common factor of $3780$ and integer $k$ is $60$. Find the smallest possible value of integer $k$.</div></li></ol>

Express $3780$ as the product of its prime factors.

Find the smallest integer $p$ such that $3780p$ is a perfect cube.

Find the smallest integer $q$ such that $3780q$ is a multiple of $350$.

The lowest common multiple of $3780$ and integer $k$ is $7560$. The highest common factor of $3780$ and integer $k$ is $60$. Find the smallest possible value of integer $k$.

Prime Factorisation and Number Properties of 3780

Prime Factorisation and Number Properties of 3780

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