For an easy way to find the least common multiple of an array e.g. 8, 6, 42, 16, 32 follow the next steps:
Divide each term of the array (gray column) by 2 see green row at top of the table, if the array item is not divisible by 2 write the number as is.
Continue the process until all numbers that can be divided by 2 are 1, then start dividing by 3 and then by the next prime number. At the end multiply all the divisors at the top
of the table (green row) to get the least common multiple.

LCM = 2 • 2 • 2 • 2 • 2 • 3 • 7 = 672

arr

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 2

Divide by: 3

Divide by: 7

8

4

2

1

1

1

1

1

6

3

3

3

3

3

1

1

42

21

21

21

21

21

7

1

16

8

4

2

1

1

1

1

32

16

8

4

2

1

1

1

Example 1: find the LCM of the array 14, 5, 25.

Solution: LCM = 2, • 5, • 5, • 7 = 350

arr

Divide by: 2

Divide by: 5

Divide by: 5

Divide by: 7

14

7

7

7

1

5

5

1

1

1

25

25

5

1

1

Example 2: find the LCM of the array 72, 12, 3 21, 112.