Question

find the LCM of 24 36 and 45​

Answer 1

35378366364363930346633783838373

Answer 2

Step-by-step explanation:

firstly we have to take least prime number which divides perfectly at least two of the given numbers.

prime numbers are 2,3,5,7,11 and so on

least one is 2 . and 2 divides 24 and 36

then with 2  |  24, 36, 45

                       12, 18, 45

2*12=24; 2*18=36; 45 is not divisible by 2

again 2 divides 12 and 18

      2  | 12, 18, 45

               6, 9, 45

only 6 is divided by 2. but condition is to divide at least 2 numbers

hereafter those 3 numbers are divided by 3

     3  |   6, 9, 45

              2, 3, 15

2 is not possible, so by 3

       3  |    2, 3, 15

                2, 1, 5

2,1 and 5 are prime numbers. hence leave

finally 2  |  24, 36, 45

           2  |  12, 18, 45

             3  |   6, 9, 45

               3  |  2, 3, 15

                       2, 1, 5

LCM = 2*2*3*3*2*1*5=180

Hence, the LCM of 24,36 and 45 is 180.