Question

Find the least square number exactly divisible by each one of the numbers 6, 9, 15 and 12.​

Answer 1

Answer:

900

Step-by-step explanation:

The smallest number divisible by 6, 9, 15 and 20 is their L.C.M. i.e. 180 Resolving the L.C.M. as prime factors we get, 180= 2 × 2 × 3 × 3 × 5 To make it perfect square multiply by 5 then it becomes, 180= 2 × 2 × 3 × 3 × 5 × 5 Which implies 180 × 5 = 900Read more on Sarthaks.com - https://www.sarthaks.com/729925/find-the-least-square-number-which-is-exactly-divisible-by-each-of-the-numbers-6-9-15-and-20