The least perfect square exactly divisible by each of the numbers 3, 7, 9, 12 and 15 is
amitnrw:
44100
Answers
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10
Answer:
44100
Step-by-step explanation:
Numbers are 3 , 7 , 9 , 12 & 15
First find out LCM
3 = 3×1
7 = 7×1
9 = 3×3
12 = 3×2×2
15 = 3 ×5
LCM = 3×3×2×2×7×5
LCM = 1260
LCM = 3²×2²×7×5
To have it perfect square
Multiply LCM by 7×5
Number = 3²×2²×7×5×7×5
Number = 3²×2²×7²×5²
Number = (3×2×7×5)²
Number = (210)²
Number = 44100
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