Question
The HCF of each pair of 5 numbers is 3 and their LCM is
159. Find the multiplication of all the number.Solution
HCF = 3 Let the five numbers be 3a, 3b, 3c, 3d and 3e where a,b,c,d,e are co-prime to each other LCM = 3 × a × b × c × d × e = 159 a × b × c × d × e = 53 The multiplication of all the number = 3a × 3b × 3c × 3d × 3e = 243 × 53 = 12879
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