30
2³ , 5 , 7 and 9 because 2³ * 5 * 7 * 9 = 2520 Factor tree: 2520 2 x 1260 2 x 2 x 630 2 x 2 x 2 x 315 2 x 2 x 2 x 3 x 105 2 x 2 x 2 x 3 x 3 x 35 2 x 2 x 2 x 3 x 3 x 5 x 7 The prime factorization of 2520 is 2 x 2 x 2 x 3 x 3 x 5 x 7 or 23 x 32 x 5 x 7.
x + 5 = 3 x = -2
2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 = 6480
1
2 x 3 x 3 x 3 = 54 2 x 3 x 5 x 7 = 210 2 x 3 x 3 x 3 x 5 x 7 = 1890, the LCM
2 x 5 x 5 x 5 = 250 2 x 2 x 3 x 3 x 3 x 3 = 324 2 x 2 x 2 x 3 x 3 = 72 2 x 2 x 3 x 13 = 156 3 x 37 = 111 2 x 2 x 2 x 2 x 2 x 2 x 2 = 128 5 x 5 x 5 x 5 = 625 2 x 5 x 5 x 11 = 550 3 x 3 x 3 x 3 x 5 = 405 3 x 3 x 3 x 3 x 3 = 243 2 x 2 x 5 x 5 x 5 = 500 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512
The prime factors of 120 are 2 x 2 x 2 x 3 x 5 or 2^3 x 3 x 52 x 2 x 2 x 3 x 52 x 2 x 2 x 3 x 5 = 1202 x 2 x 2 x 3 x 5 = 120
3,000 = 2 x 2 x 2 x 3 x 5 x 5 x 5 OR 2^3 x 3 x 5^3
Factor them. 3 x 3 = 9 5 x 5 = 25 2 x 2 x 2 x 3 x 5 = 120 Combine the highest amount of each prime factor. 2 x 2 x 2 x 3 x 3 x 5 x 5 = 1800, the LCM
For 45: 3 x 3 x 5For 54: 2 x 3 x 3 x 3
2 x 2 x 3 x 5 x 5 3 x 4 x 5 x 5 2 x 5 x 5 x 6 2 x 2 x 3 x 25 2 x 2 x 5 x 15 2 x 3 x 5 x 10 2 x 2 x 75 5 x 6 x 10 3 x 5 x 20 5 x 5 x 12 2 x 3 x 50 2 x 5 x 30 3 x 4 x 25
2 x 2 x 3 x 5 x 5 3 x 4 x 5 x 5 2 x 5 x 5 x 6 2 x 2 x 3 x 25 2 x 2 x 5 x 15 2 x 3 x 5 x 10 2 x 2 x 75 5 x 6 x 10 3 x 5 x 20 5 x 5 x 12 2 x 3 x 50 2 x 5 x 30 3 x 4 x 25
3 x 5 = 15 2 x 2 x 2 x 2 x 2 = 32 2 x 2 x 2 x 2 x 2 x 3 x 5 = 480, the LCM
2 x 2 x 2 = 8 2 x 3 x 5 = 30 3 x 3 x 5 = 45 2 x 2 x 2 x 3 x 3 x 5 = 360, the LCM
2 x 2 x 2 x 45 2 x 2 x 3 x 30 2 x 2 x 5 x 18 2 x 3 x 3 x 20 2 x 3 x 5 x 12 3 x 3 x 5 x 8 2 x 2 x 2 x 3 x 15 2 x 2 x 3 x 3 x 10 2 x 2 x 3 x 5 x 6 2 x 3 x 3 x 4 x 5 2 x 2 x 2 x 5 x 9 2 x 2 x 2 x 3 x 3 x 5
2 x 2 x 2 x 3 x 5 x 5 600 = 15 x 40 = 3 x 5 x 5 x 8 = 3 x 5 x 5 x 2 x 4 = 3 x 5 x 5 x 2 x 2 x 2
A question of prime factors... The answer is 2 x 2 x 3 x 5 x 7 = 420 2 x 2 x 3 x 5 x 7 gives us a factor of 2... 2 x 2 x 3 x 5 x 7 and of 3... 2 x 2 x 3 x 5 x 7 and of 4... 2 x 2 x 3 x 5 x 7 and of 5... 2 x 2 x 3 x 5 x 7 and of 6... 2 x 2 x 3 x 5 x 7 and of 7.