Prime factors are 3, 3, 5, 5, 7 Others are combinations of the prime factors, i.e. 3 x 3 = 9 3 x 5 = 15 3 x 7 = 21 5 x 5 = 25 5 x 7 = 35 3 x 3 x 5 = 45 3 x 3 x 7 = 63 3 x 5 x 5 = 75 3 x 5 x 7 = 105 5 x 5 x 7 = 175 3 x 3 x 5 x 5 = 225 3 x 3 x 5 x 7 = 315 3 x 5 x 5 x 7 = 525
3 x 3 x 3 x 3 x 5 x 5
3 x 5 x 5 = 753 x 5 x 7 = 105The LCM is: 525
x-4x=5 (1)x-(4)x=5 (-3)x=5 x= 5/(-3) x= -5/3
For 45: 3 x 3 x 5For 54: 2 x 3 x 3 x 3
675/25=273 x 3 x 3 x 5 x 5675 = 3^3 x 5^233 x 52
-1
The factors of 4,050 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 81, 90, 135, 150, 162, 225, 270, 405, 450, 675, 810, 1350, 2025, 4050. Prime factors are 2, 3, 3, 3, 3, 5, 5 Other factors are combinations of the primes, i.e. 2 x 3 = 6 2 x 5 = 10 3 x 3 = 9 3 x 5 = 15 5 x 5 = 25 2 x 3 x 3 = 18 2 x 3 x 5 = 30 2 x 5 x 5 = 50 3 x 3 x 3 = 27 3 x 3 x 5 = 45 3 x 5 x 5 = 75 2 x 3 x 3 x 3 = 54 2 x 3 x 3 x 5 = 90 2 x 3 x 5 x 5 = 150 3 x 3 x 3 x 3 = 81 3 x 3 x 3 x 5 = 135 3 x 3 x 5 x 5 = 225 2 x 3 x 3 x 3 x 3 = 162 2 x 3 x 3 x 3 x 5 = 270 2 x 3 x 3 x 5 x 5 = 450 3 x 3 x 3 x 3 x 5 = 405 3 x 3 x 3 x 5 x 5 = 675 2 x 3 x 3 x 3 x 3 x 5 = 270 2 x 3 x 3 x 3 x 5 x 5 = 1,350 3 x 3 x 3 x 3 x 5 x 5 = 2,025
5 x 9 = 5 x 3 x 3 3 x 25 = 3 x 5 x 5 One each of '3' & '5' are common to both multip;lies Hence 3 x 5 = 15 which is the GCF. The LCM is 15 x 3 x 5 = 15 x 15 = 225
-5
1665 5 x 333 5 x 3 x 111 5 x 3 x 3 x 37 1665 = 3 x 3 x 5 x 37 or 32 x 5 x 37
2 x 3 x 3 x 3 = 54 2 x 5 x 5 x 5 = 250 2 x 3 x 3 x 3 x 5 x 5 x 5 = 6750, the LCM