2520. 84 = 22 x 3 x 7 360 = 23 x 32 x 5 lcm = 23 x 32 x 5 x 7 = 2520
2 x 42=84 4 x 21=84 6 x 14=84
84 x 84
What is the value of x if (13, 84, x) is a Pythagorean triple?
x + y = 84 y = x + 12 so x + (x + 12) = 84 or 2x +12 = 84 or 2x = 72 so that x = 36. Then y = x + 12 = 48 Answer: 36 and 48
Prime factorization: 84 = 22 x 3 x 7 360 = 23 x 32 x 5 The LCM of 84 and 360 is 23 x 32 x 5 x 7 = 2,520.
2520. 84 = 22 x 3 x 7 360 = 23 x 32 x 5 lcm = 23 x 32 x 5 x 7 = 2520
42 = 2 x 3 x 7 72 = 23 x 32 84 = 22 x 3 x 7
2 x 2 x 23 = 92 2 and 23 and both prime numbers
23 x 32 x 7 = 504, the LCM
Since 184 is a multiple of 23, the answer is 184. 23x8 is 184.It is never a bad idea when looking for the LCM of 2 number and one is much bigger to see if the smaller number goes into the bigger one evenly. If so, you are done!
12. 24 = 23 x 3 36 = 22 x 32 60 = 22 x 3 x 5 84 = 22 x 3 x 7 gcd = 22 x 3 = 12
3/14 = x/84 Multiply by 84 on both sides: (3/14) x 84 = x x = (3 x 84)/14 = 18
The three are 84, 168, and 252 - the first three multiples of 84 (14 = 2 x 7, 84 = 2 x 2 x 3 x 7) 84 = 1 x 84 , 6 x 14 168 = 2 x 84, 12 x 14 252 = 3 x 84, 18 x 14 (only the sixth multiples of 14)
84 x 84 = 7056
84
2 x 42=84 4 x 21=84 6 x 14=84