Additively.
35X8 + 245X7
35X7(X + 7)
35X7
=========LCM
7(5x + 9y)
x3 - 12x2 + 35x = x(x2 - 12x + 35) = x(x - 5)(x - 7)
7(5x + 4y)
28
7...that is the LCM or least common multiple Because 7X2a=14a and 7X3=21
35x2-44x-7 = (7x+1)(5x-7) when factored
35x + 115 = 360 35x = 360-115 35x = 245 x = 245/35 x = 7
gcf(35x², 7xy², 21x²y²) = 7x 35x² = 5 times 7 times x² 7xy² = 7 times x times y² 21x²y² = 3 times 7 times x² times y² hcf = 7 times x = 7x (I've written the multiplication as times instead of using the × symbol to avoid confusion with the unknown x.)
x3 + 2x2 - 35x = x(x + 7)(x - 5)
7(5x + 9y)
The LCM of 14, 7 and 17 is 238. Factorising in power format: 14 = 2 x 7 7 = 7 17 = 17 lcm = 2 x 7 x 17 = 238
LCM is 28, which is the multiple of the highest power of prime factors in the given numbers (22 x 7).
x3 - 12x2 + 35x = x(x2 - 12x + 35) = x(x - 5)(x - 7)
For the values: 8, 7, 3 the LCM is: 168
LCM is 56, which is the multiple of the highest power of prime factors in the given numbers (23 x 7).
7(5x + 4y)
5 * 7 * x * x * x