how to find the lcm of 15,27
Multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180
Multiples of 27:
27, 54, 81, 108, 135, 162, 189
To find the least common multiple (LCM) of two numbers, such as 15 and 27, you can follow these steps:
Step 1: List the prime factors of each number.
- Prime factors of 15: 3, 5 (3 × 5 = 15)
- Prime factors of 27: 3, 3, 3 (3 × 3 × 3 = 27)
Step 2: Write down all the prime factors, taking the highest power of each.
- Prime factors of 15: 3, 5
- Prime factors of 27: 3, 3, 3
Step 3: Multiply all the prime factors together, including their highest power.
- LCM = 3 × 3 × 3 × 5 = 135
So, the LCM of 15 and 27 is 135.