What will be the Least Common Multiple of the numbers divisible by 3 between 26 and 32?

Sure, let's find the Least Common Multiple (LCM) of the numbers divisible by 3 between 26 and 32 step by step.

1. Identify the numbers divisible by 3 between 26 and 32:

   • The numbers between 26 and 32 are: 27, 28, 29, 30, 31.
   • Among these, the numbers divisible by 3 are: 27 and 30.

2. List the numbers:

   • The numbers we need to find the LCM for are 27 and 30.

3. Find the prime factorization of each number:

   • 27 = 3 × 3 × 3 = 3³
   • 30 = 2 × 3 × 5

4. Identify the highest power of each prime number:

   • For the prime number 2, the highest power is 2¹ (from 30).
   • For the prime number 3, the highest power is 3³ (from 27).
   • For the prime number 5, the highest power is 5¹ (from 30).

5. Multiply these highest powers together to find the LCM:

   • LCM = 2¹ × 3³ × 5¹
   • LCM = 2 × 27 × 5
   • LCM = 2 × 135
   • LCM = 270

So, the Least Common Multiple (LCM) of the numbers divisible by 3 between 26 and 32 is 270.