what is the least number which is
exactly divisible by 8, 9, 12, 15 and 18
and is also a
perfect square?
Answers
Answered by
0
First, we need to factor for primes:
8=2³
9=3²
12=2² x 3
15=3 x 5
18=2 x 3²
The least common multiple would be 2³ x 3² x 5=360
The least common multiple of 360 that is also a perfect square is:
√360=6√10
6² x 10²=36 x 100
=3600
Cool? Is this the answer you’ve got too?
8=2³
9=3²
12=2² x 3
15=3 x 5
18=2 x 3²
The least common multiple would be 2³ x 3² x 5=360
The least common multiple of 360 that is also a perfect square is:
√360=6√10
6² x 10²=36 x 100
=3600
Cool? Is this the answer you’ve got too?
Answered by
0
Answer:
900
Step-by-step explanation:
Sol: 12 = 2 x 2 x 3 15 = 3 x 5 20 = 2 x 2 x 5
So, LCM = 2 x 2 x 3 x 5 = 60
As 3 and 5 are not in pair in LCM's factor so we need to multiply 60 by 5 and 3 to make it a perfect square.
Required Smallest Number = 60 x 3 x 5 = 900.
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