What is the Least Common Multiple of 15, 18, and 24? GMAT Problem Solving

Question: What is the least common multiple of 15, 18, and 24?

1. 60
2. 120
3. 240
4. 360
5. 720

“What is the least common multiple of 15, 18, and 24?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

Solution and Explanation:

Approach Solution (1):

15 = 3 * 5
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3

The LCM will be found by taking common multiples and multiplying by remaining prime numbers. Also if you know how to find HCF, then you can use a * b * c = HCF * LCM

Correct Answer: D

Approach Solution (2):

Here the numbers mentioned are 15, 18, and 24. Let us factorize each of them.

15 = 3 * 5
18 = 2 * 3 * 3
24 = 2 * 2 * 2 * 3

In order to obtain the LCM of the above mentioned numbers, we multiply all the prime factors in their highest power of all the numbers.
Hence, the LCM = 360

Correct Answer: D

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