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

Question

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

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Solution

Step 1: Identify the numbers between 26 and 32 that are divisible by 3. These numbers are 27 and 30.

Step 2: Find the Least Common Multiple (LCM) of these numbers.

The LCM of two numbers is the smallest number that is a multiple of both.

To find the LCM of 27 and 30, we can list the multiples of each number until we find a common multiple.

Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810...

Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810...

The smallest common multiple of 27 and 30 is 810.

So, the Least Common Multiple of the numbers divisible by 3 between 26 and 32 is 810.

This problem has been solved

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