The $LCM$ of $7, 11,$ and $17$ is .......

Find the $LCM$ and $HCF$ of the following integers by applying the prime factorisation method: $17, 23$ and $29$.

Use Euclid's division algorithm to find the $HCF$ of $441, 567, 693$.

The numbers $525$ and $3000$ are both divisible by $3, 5, 15, 25,$ and $75$. What is $HCF(525, 3000)$? Justify your answer.

There is a circular path around a sports field. Sonia takes $18$ minutes to drive one round of the field,while Ravi takes $12$ minutes for the same. Suppose they both start at the same point and at the same time,and go in the same direction. After how many minutes will they meet again at the starting point?

Find the $g.c.d.$ (Greatest Common Divisor) of $12576$ and $4052$ using Euclid's division algorithm.