Question

L.C.M. of three natural numbers 12,36 and
X is 180. How many possible values can X
attain?
(A) 8
(B) 10
(C) 12
(D) 9

Answer 1

Answer:10... Pls mark me as the brainliest

Answer 2

Given :  L.C.M. of three natural numbers 12,36 and  X is 180  

To Find :   How many possible values can X  attain

Solution:

12 = 2 * 2 * 3

36  = 2 * 2 * 3 *  3

X  = ?  

LCM  = 180

LCM = 2 * 2 * 3 * 3  *  5

X  must have a factor of 5  

& X can have any factor   1 ,  2²  , 3²

(2 + 1)(2 + 1)  = 9  Possible Such numbers

5

10

15

20

30

45

60

90

180

9 possible Values

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