Question

Find the least square number which is exactly divisible by each of the number 8,12,15 and 20

Answer 1

find the LCM of given numbers.square it to get the answer.
8=2^3
12=2^2*3
15=3*5
20=2^2*

LCM=2^3*3*5=120

now multiply the LCM by prime factors so that all the prime factors will have the even multiplicities
ans = (2^3*3*5)*(2*3*5)
= 2^4*3^2*5^2
= 3600

Answer 2

Answer:

60

Step-by-step explanation:

2 8,12,15,20                2x2x2x3x5

2 4, 6, 15,10                 120x(2x3x5)

2 2, 3, 15,5                   120x30=3600

3 1,  3, 15,5                                =60x60

5 1,   1,  5 ,5                               =60

  1,  1,   1,  1