Advanced Mathematics Primary 4 Factors and Multiples

What is the SMALLEST 3-digit number that is a common multiple of 6 and 9?

A 144
B 90
C 108
D 102
Show Worked Solution

Worked Solution

Step 1: Find the lowest common multiple (LCM) of 6 and 9. LCM(6,9) = 18. Step 2: All common multiples of 6 and 9 are multiples of 18: 18, 36, 54, 72, 90, 108, 126, … Step 3: The first 3-digit number in this list is 108. Step 4: Check: 108 ÷ 6 = 18 ✓ and 108 ÷ 9 = 12 ✓. So 108 is the smallest 3-digit common multiple of 6 and 9. Answer: 108

Correct answer: 108

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