Question

find the LCM of the following by division method (a) 24, 27, 30, 90​

Answer 1

Given: The four numbers  24, 27, 30, 90​

To find: Least Common Multiple of four numbers?

Solution:

• Least Common Multiple: The least common multiple is the smallest number that is a multiple of two numbers.

• Now we have given four numbers 24, 27, 30, 90​,  so least common multiple by division method is:

                          2 |   24     27     30     90

                           2 |   12      27      15     45

                           2 |   6       27      15     45

                           2 |   3       27      15     45

                           3 |   1         9        5      15

                           3 |   1         3        5       5

                           5 |   1         1         5       5

                              |   1          1         1        1

• So the prime factors are: 2 x 2 x 2 x 2 x 3 x 3 x 5

• So the LCM is 16 x 45 = 720.

Answer:

           So the LCM of 24, 27, 30, 90​ is 720.

Answer 2

The LCM of 24,27,30,90 is 720