Fundamental Theorem of Arithmetic

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?

Show the 6ⁿ cannot end with digit 0 for any natural number 'n'.

Find the greatest number consisting of 6 digits which is exactly divisible by 24, 15, 36?

Find the LCM and HCF of the following integers by applying the prime factorisation method:

 24, 15 and 36

Find the H.C.F. of 252525 and 363636

If the HCF of 65 and 117 is expressible in the form 65m – 117, then the value of m is ______.

Statement A (Assertion): If product of two numbers is 5780 and their HCF is 17, then their LCM is 340.

Statement R (Reason): HCF is always a factor of LCM.

Find the LCM and HCF of the following integers by applying the prime factorisation method.

8, 9 and 25