MATHEMATICS · Multi-part · CBSE · Mathematics · Real Numbers · Real Numbers
Problem
Consider the four numbers 324, 432, 768 and 972.
(a) Obtain the prime factorisation of each number, clearly indicating the exponents of the primes involved.
(b) Find the HCF of the four numbers.
(c) Find the LCM of the four numbers.
(d) Calculate the value of 324×432×768×972HCF×LCM and comment on whether it equals 1, giving a short reason based on your results.