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.
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
240 = 2 x 2 x 2 x 2 x 3 x 5 900 = 2 x 2 x 3 x 3 x 5 x 5 Max is four 2's, two 3's and two 5's So LCM is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600
The prime factors of 720 are: 2, 3 and 5
1800
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
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
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
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.
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
3600 = 2 * 2 * 2 * 2 * 3 * 3 * 5 * 5 = 24 * 32 * 52Factor tree: 36002 x 18002 x 2 x 9002 x 2 x 2 x 4502 x 2 x 2 x 2 x 2252 x 2 x 2 x 2 x 5 x 452 x 2 x 2 x 2 x 5 x 5 x 92 x 2 x 2 x 2 x 5 x 5 x 3 x 3The prime factorization of 3600 is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5or 24 x 22 x 52
The GCF of 360 and 4500 is 180. 2 x 2 x 2 x 3 x 3 x 5 = 360 2 x 2 x 3 x 3 x 5 x 5 x 5 = 4500 2 x 2 x 3 x 3 x 5 = 180, the GCF
240 = 2 x 2 x 2 x 2 x 3 x 5 900 = 2 x 2 x 3 x 3 x 5 x 5 Max is four 2's, two 3's and two 5's So LCM is 2 x 2 x 2 x 2 x 3 x 3 x 5 x 5 = 3600
The prime factors of 480 are 2, 5 and 3: 2^5 * 5 * 3 = 480