Open Middle®
Directions: Use the digits 0 to 9, at most one time each, to fill in the boxes and make a true statement.
Hint
How does choosing the digit for the ones’ place affect the least common multiple?
Answer
One answer is LCM 28 and 35 is 140. There may be others.
Source: Wendy Taylor
Another is LCM of 07 and 24 is 168
We found 52 x 09 = 468
LCM of 02 and 19 is 38
You need the multiple to be a 3 digit number, so this would not work because you would use zero twice.
LCM of 02 and 17 is 34
same as above
LCM of 36 and 45 is 180.
I found 01 with 23 which is obviously 23
LCM 15×25=375 I dont know right this answer
85 solutions. 46 without leading zeros:
lcm(12,59) = 708
lcm(12,65) = 780
lcm(12,67) = 804
lcm(13,46) = 598
lcm(13,54) = 702
lcm(13,56) = 728
lcm(13,74) = 962
lcm(14,59) = 826
lcm(14,67) = 938
lcm(14,76) = 532
lcm(15,26) = 390
lcm(15,32) = 480
lcm(15,62) = 930
lcm(15,72) = 360
lcm(15,78) = 390
lcm(15,96) = 480
lcm(16,37) = 592
lcm(16,45) = 720
lcm(16,74) = 592
lcm(16,94) = 752
lcm(18,57) = 342
lcm(19,32) = 608
lcm(21,54) = 378
lcm(21,69) = 483
lcm(21,78) = 546
lcm(21,87) = 609
lcm(26,35) = 910
lcm(27,34) = 918
lcm(27,36) = 108
lcm(27,63) = 189
lcm(28,35) = 140
lcm(28,91) = 364
lcm(34,85) = 170
lcm(36,45) = 180
lcm(36,54) = 108
lcm(39,54) = 702
lcm(45,72) = 360
lcm(48,57) = 912
lcm(48,76) = 912
lcm(51,68) = 204
lcm(52,91) = 364
lcm(56,91) = 728
lcm(63,72) = 504
lcm(65,78) = 390
lcm(76,95) = 380
lcm(78,91) = 546
39 with leading zeros:
lcm(02,67) = 134
lcm(02,69) = 138
lcm(02,73) = 146
lcm(02,79) = 158
lcm(02,93) = 186
lcm(03,58) = 174
lcm(03,64) = 192
lcm(03,89) = 267
lcm(04,39) = 156
lcm(04,59) = 236
lcm(04,78) = 156
lcm(04,79) = 316
lcm(04,86) = 172
lcm(04,89) = 356
lcm(06,29) = 174
lcm(06,43) = 258
lcm(06,58) = 174
lcm(06,89) = 534
lcm(06,97) = 582
lcm(07,24) = 168
lcm(07,52) = 364
lcm(07,59) = 413
lcm(07,69) = 483
lcm(07,89) = 623
lcm(07,93) = 651
lcm(07,94) = 658
lcm(08,37) = 296
lcm(08,54) = 216
lcm(08,59) = 472
lcm(08,74) = 296
lcm(08,76) = 152
lcm(08,79) = 632
lcm(08,94) = 376
lcm(09,52) = 468
lcm(09,78) = 234
lcm(09,87) = 261
lcm(18,27) = 054
lcm(26,39) = 078
lcm(32,48) = 096
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