Math, asked by shreya012345, 9 months ago

perfect square.
Find the least number which is a perfect square and exactly divisible by
10, 12 and 15.
perfect square and exactly divisible by​

Answers

Answered by manushrilead
8

Answer:

900 = 30^2

Step-by-step explanation:

LCM of 10 , 12 , 15 is 60

60 = 3 × 5 × 2^2

To become a perfect square :-

3 ^2 × 5^2 × 2^2 = 60 × 3 ×5

                           = 900

the smallest perfect square divisible by 10 12 and 15 is 900.

Answered by sourasghotekar123
2

Answer:

900

Step-by-step explanation:

Number = perfect square

Number is divisible by 10,12,15.

LCM=Project of the highest power of the prime factors.

Calculation:

Expressing the given terms in the form of factors,

10=2*5

12=2^{2}*3

15=3*5

18=2*3^{2}

LCM = 2^{2}*3^{2}*5

        =180

If we multiply 5 to the LCM we get,

  =5*180

  =900

The project code is #SPJ2

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