Solution

22550100
5252550
55510
112

LCM = 2 x 5 x 5 x 1 x 1 x 2 = 100

Step 1

Find the smallest number which can divide at least 2 input numbers.

Candidate dividers are: (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47)

Let's try with 2
Is 25 divisible by 2No
Is 50 divisible by 2Yes
Is 100 divisible by 2Yes

2 numbers {50, 100} are divisable by 2.Therefore 2 is our divisor.

Step 2

Divide the input numbers which are divisible by our selected divisor 2.

22550100
252550

Step 3

Find the smallest number which can divide at least 2 input numbers.

Candidate dividers are: (2, 3, 5, 7, 11, 13, 17, 19, 23)

Let's try with 2
Is 25 divisible by 2No
Is 25 divisible by 2No
Is 50 divisible by 2Yes

Only one numbers {50} is divisable by 2.Therefore 2 is not our divisor.

Let's try with 3
Is 25 divisible by 3No
Is 25 divisible by 3No
Is 50 divisible by 3No

No number is divisable by 3.Therefore 3 is not our divisor.

Let's try with 5
Is 25 divisible by 5Yes
Is 25 divisible by 5Yes
Is 50 divisible by 5Yes

3 numbers {25, 25, 50} are divisable by 5.Therefore 5 is our divisor.

Step 4

Divide the input numbers which are divisible by our selected divisor 5.

22550100
5252550
5510

Step 5

Find the smallest number which can divide at least 2 input numbers.

Candidate dividers are: (2, 3, 5)

Let's try with 2
Is 5 divisible by 2No
Is 5 divisible by 2No
Is 10 divisible by 2Yes

Only one numbers {10} is divisable by 2.Therefore 2 is not our divisor.

Let's try with 3
Is 5 divisible by 3No
Is 5 divisible by 3No
Is 10 divisible by 3No

No number is divisable by 3.Therefore 3 is not our divisor.

Let's try with 5
Is 5 divisible by 5Yes
Is 5 divisible by 5Yes
Is 10 divisible by 5Yes

3 numbers {5, 5, 10} are divisable by 5.Therefore 5 is our divisor.

Step 6

Divide the input numbers which are divisible by our selected divisor 5.

22550100
5252550
55510
112

Step 7

Find the smallest number which can divide at least 2 input numbers.

Candidate dividers are: ()

No divisor found. We should calculate LCM Now.

Step 8

22550100
5252550
55510
112

Multiply divisors (2, 5, 5) and remaining numbers (1, 1, 2) to get the lcm.

LCM = 2 x 5 x 5 x 1 x 1 x 2 = 100