Open Middle®
Directions: Using the digits 0 to 9, at most one time each, place a digit in each box to make the smallest possible least common multiple.
Hint
How can we tell if your three numbers have any relationship with each other?
How can we use our knowledge of multiples?
Answer
07 14 28 will get us an LCM of 28.
Source: Howie Hua
13
29
47
it gives a LCM of 1
Your greatest common factor is 1.
Your least common multiple is 13(29)(47).
07
14
28 LCM=28
13
26
78
17 34 68
To add onto the solution:
If leading zeros are not allowed, the solution is lcm(18, 27, 54) = 108.
And another note: the greatest lcm is lcm(76, 85, 93) = 600,780.