Question

Find two pairs of numbers with the least common multiple:

10. 10
11. 36
12. 60
13. 105
- a) (20, 30; 36, 72)
- b) (10, 20; 36, 72)
- c) (5, 10; 18, 36)
- d) (10, 20; 60, 120)

Answer 1

To find the least common multiple of the given numbers, we need to find pairs of numbers whose LCM is equal to the given numbers. (d) (10, 20; 60, 120) is the correct answer.

Step-by-step explanation:

The least common multiple (LCM) is the smallest multiple that two or more numbers have in common. To find the LCM of the given numbers, we need to find pairs of numbers whose LCM is equal to 10, 1011, 3612, 6013, or 105. From the options provided, the correct answer is (d) (10, 20; 60, 120). The LCM of 10 and 20 is 20. The LCM of 60 and 120 is 120. Therefore, the two pairs of numbers with the least common multiple are (10, 20) and (60, 120).