Because all of the numbers less than 1260 have fewer factors.
HCF(30, 36, 42) = 6 LCM(30, 36, 42) = 1260
It is infinity but the lowest common multiple is 1260
288 is one, 72 is the lowest one.
36
The smallest number with exactly 36 factors is 1260. The factors are: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, and 1260.
1260
The LCM is 1260.
In that range, the number with the most factors is 48 (10) 36 has 9 and four others are tied with 8.
The LCM is 1260.
The GCF is 18.
It is: 35/1260 = 1/36
Every number below is a factor of 1260 achieved in a systematic fashion. You should be able to do 1350 now. Factors of 1260 = 1260 * 1 630 * 2 420 * 3 315 * 4 252 * 5 210 * 6 180 * 7 140 * 9 126 * 10 105 * 12 90 * 14 84 * 15 70 * 18 63 * 20 60 * 21 45 * 28 42 * 30 35 * 36