### Examples

**Example 1:** Find the LCM of 12, 16 and 14.

**Solution:**

Prime factorization of 12: 12 = 2, 2, 3

Prime factorization of 16: 16 = 2, 2, 2, 2

Prime factorization of 14: 14 = 2, 7

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

Therefore, LCM(12, 16, 14) = 336.
**Example 2:** Find the LCM of 24, 30 and 36.

**Solution:**

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

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

Prime factorization of 36: 36 = 2, 2, 3, 3

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

Therefore, LCM(24, 30, 36) = 360.
**Example 3:** Find the LCM of 4, 8 and 12.

**Solution:**

Prime factorization of 4: 4 = 2, 2

Prime factorization of 8: 8 = 2, 2, 2

Prime factorization of 12: 12 = 2, 2, 3

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

Therefore, LCM(4, 8, 12) = 24.

### Exercise

**1.** LCM(18,24,30) = 360

**2.** LCM(15,20,36) = 180

**3.** LCM(16,40,64) = 320

**4.** LCM(12,18,24) = 72

**5.** LCM(20,40,80) = 80

**6.** LCM(10,25,30) = 150

**7.** LCM(35,40,48) = 1680

**8.** LCM(48,72,90) = 720

**9.** LCM(60,100,120) = 600

**10.** LCM(6,12,15) = 60