Question

The product of HCF and LCM of two numbers can be factorised as 2⁶×3k×5. One of the two numbers is 360 and the other number can be prime factorised as 2m×3³.What is the value of k?
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Answer 1

Step-by-step explanation:

${2}^{6} \times 3k \times 5 = 360 \times 2m \times {3}^{3}$

${2}^{6} \times 3k \times 5 = {2}^{4} \times {3}^{5} \times m \times 5$

$k = {2}^{ - 2} \times {3}^{4} \times m$