Exercise 2 Directions: Find the Least Common Multiples of the following sets of numbers using Factor Tree. Write your answer on a separate piece of paper, 1. 2. 3. 4. 5. 12 and 16 9 and 12 6 and 9 12 and 36 15 and 45
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Answer:
1.48
Hence the Least common multiple of 12 and 16 is 48. The LCM of 12 and 16 is 48.
2.36
The LCM of 9 and 12 is 36. To find the least common multiple of 9 and 12, we need to find the multiples of 9 and 12 (multiples of 9 = 9, 18, 27, 36; multiples of 12 = 12, 24, 36, 48) and choose the smallest multiple that is exactly divisible by 9 and 12, i.e., 36.
3. 18
The LCM of 6 and 9 is 18. To find the LCM (least common multiple) of 6 and 9, we need to find the multiples of 6 and 9 (multiples of 6 = 6, 12, 18, 24; multiples of 9 = 9, 18, 27, 36) and choose the smallest multiple that is exactly divisible by 6 and 9, i.e., 18.
4.36
The LCM of 12 and 36 is 36. To find the LCM (least common multiple) of 12 and 36, we need to find the multiples of 12 and 36 (multiples of 12 = 12, 24, 36, 48; multiples of 36 = 36, 72, 108, 144) and choose the smallest multiple that is exactly divisible by 12 and 36, i.e., 36.
5.45
45Answer: LCM of 15 and 45 is 45.
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