A common question in mathematics asks you to find two pairs of numbers with a given LCM. It is trying to find out whether you know what an LCM is, how to find it and reinforces the fact that more than one pair of numbers can have the same LCM.
Q. Find two pairs of numbers with the LCM of 36.
A. 4 and 9, 12 and 18 (Other answers are possible.)
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Select ALL pairs of numbers that have a least common multiple of 30
Two pairs of numbers with 105 as their least common multiple are (15, 105) and (21, 105). This means that both pairs of numbers are multiples of 105 and their only common multiple is 105. The least common multiple is the smallest number that both numbers can divide evenly into.
7 and 15 35 and 3
30 and 60 12 and 15
16 and 25 23 and 47 27 and 50