find the least square number, exactly divisible by each one of the numbers i) 6, 9, 15, 20 ii) 8, 12, 15, 20
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Answer:
900 and 3600
Step-by-step explanation:
(1) Smallest least number divisible by 6,9,15 and 20 is its L.C.M. Its LCM is 180. Therefore there is no factor to form pair of 5, so to make it a perfect square we multiply 180 with 5 to get 900. Hence least square number divisible by6,9,15 and 20 is 900.
(2) LCM of 8,12,15,and 20. Here is 2,3,5, are not in pairs, we need to in pairs for smallest square number. Hence the number is 2×2×2×2×3×3×5×5=3600.
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