Well, isn't that just a happy little math question! To find three numbers whose least common multiple (LCM) is 100, we can choose numbers that have common factors with 100. One example could be 20, 25, and 100, as their LCM would be 100. Just remember, there are many combinations that could work, so feel free to explore and see what you come up with!
The set of three numbers whose LCM (Least Common Multiple) is equal to the product of the numbers would be {1, 2, 2}. Here's how it works: LCM(1, 2, 2) = 2, which is also the product of the numbers (1 * 2 * 2 = 4).
63 = 3 x 3 x 7, so there are more than one combination: 7 & 9 and 21 & 9. That should be it, unless you want to consider the somewhat trivial combinations : 63 & 21, 63 & 9, 63 & 3, 63 & 7.
84, 96 and 108
The LCM of 3 and 9 is 9.
The two numbers 18 and 27. Factorising the lcm and gcf gives: 54 = 2 × 3³ 9 = 3² There must be 3² in both numbers, but there must be a 3³ and a 2 which must appear in the prime factorisations of the two numbers. Putting a 2 with one 3² and a 3 with the other 3² leads to the two numbers: 2 × 3² = 18 3 × 3³ = 3³ = 27 as the two smallest numbers with gcf=9 and lcm=54. The other distribution of both 2 and 3 with one 3² results in the two number 3² = 9 and 2 × 3³ = 54, the latter of which is larger than both the 18 and 27 previously found.
3, 5 and 15
3 and 4
30 and 3
3 and 360
3 and 17
13 and 3
When the numbers are co-prime, ie have no common factor. Simplest example is 2 & 3 whose LCM is 6
The set of three numbers whose LCM (Least Common Multiple) is equal to the product of the numbers would be {1, 2, 2}. Here's how it works: LCM(1, 2, 2) = 2, which is also the product of the numbers (1 * 2 * 2 = 4).
12 and 15 have a sum of 27 and a difference of 3. Their LCM is 60.
60
75 is LCM The numbers are 15 and 25 15 + 25 = 40 25 - 15 = 10 75 / 15 = 5 75 / 25 = 3
The GCF and LCM of 10 and 10 is 10.