### Examples

**Example 1:** Find the LCM of 15, 20 and 30.

**Solution:**

Prime factorization of 15: 15 = 3, 5

Prime factorization of 20: 20 = 2, 2, 5

Prime factorization of 30: 30 = 2, 3, 5

Take the highest power of each prime factor and multiply them together to get LCM.

Therefore, LCM(15, 20, 30) = 60.
**Example 2:** Find the LCM of 24, 40 and 60.

**Solution:**

Prime factorization of 24: 24 = 2, 2, 2, 3

Prime factorization of 40: 40 = 2, 2, 2, 5

Prime factorization of 60: 60 = 2, 2, 3, 5

Take the highest power of each prime factor and multiply them together to get LCM.

Therefore, LCM(24, 40, 60) = 120.
**Example 3:** Find the LCM of 3, 5 and 10.

**Solution:**

Prime factorization of 3: 3 = 3

Prime factorization of 5: 5 = 5

Prime factorization of 10: 10 = 2, 5

Take the highest power of each prime factor and multiply them together to get LCM.

Therefore, LCM(3, 5, 10) = 30.

### Exercise

**1.** LCM(3,9,18) = 18

**2.** LCM(18,27,36) = 108

**3.** LCM(5,6,15) = 30

**4.** LCM(5,8,10) = 40

**5.** LCM(6,12,18) = 36

**6.** LCM(3,6,18) = 18

**7.** LCM(25,30,40) = 600

**8.** LCM(8,24,60) = 120

**9.** LCM(12,15,10) = 60

**10.** LCM(6,15,25) = 150