Hey there :)
To find the Greatest Common Factor ( GCF ) of 36, 40 and 45, let us first separate:
Factors of 36: 1 , 2 , 3 , 4 , 6 , 9 , 12 , 18 , 36
Factors of 40: 1 , 2 , 4 , 5 , 8 , 10 , 20 , 40
Factors of 45: 1 , 3 , 5 , 9 , 15 , 45
Therefore, the GCF is 1 since only that is common in all three.
To find the Least Common Multiple of 36, 40 and 45, we see which multiplication matches in the least:
36 × 1 = 36 | 40 × 1 = 40 | 45 × 1 = 45
36 × 2 = 72 | 40 × 2 = 80 | 45 × 2 = 90
36 × 3 = 108 | 40 × 3 = 120 | 45 × 3 = 135
36 × 4 = 144 | 40 × 4 = 160 | 45 × 4 = 180
36 × 5 = 180 | 40 × 5 = 200 | 45 × 5 = 225
36 × 6 = 216 | 40 × 6 = 240 | 45 × 6 = 270
36 × 7 = 252 | 40 × 7 = 280 | 45 × 7 = 315
36 × 8 = 288 | 40 × 8 = 320 | 45 × 8 = 360
36 × 9 = 324 | 40 × 9 = 360
36 × 10 = 360
Therefore, the LCM is 360
