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.)
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.
30 and 60 12 and 15
7 and 15 35 and 3
16 and 25 23 and 47 27 and 50
The product of all pairs of prime numbers is always the least common multiple of the two prime numbers.
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.
Two pairs of #'s with 10 as their least common multiple: 5x2 1x10
12 and 18.12,24,36,48,60.18,36,54,72,90.
6 and 12 have a least common multiple of 12
20 and 25
They are: 2 and 9, 1 and 18
5,65,7
(21,5)(15,7)
Pick any two numbers. All pairs of numbers have an LCM.
It means write down three pairs of numbers that are relatively prime like 4 and 9, 5 and 6, 13 and 25