lcm 245z^7x^2, 49z^8x^6

Question

find the lcm of the two numbers

Answer 1

first, the numbers

245 = 5 * 7 * 7

49 = 7 * 7

the lcm is 5 * 7 * 7 because 5 * 7 * 7 has 5 * 7 * 7 (to make 245) and 7 * 7 (to make 49).

now the z's

the lcm of z^7 and z^8 is z^8

note: z^8 = z^7 * z

now the x's

the lcm of x^2 and x^6 is x^6

the lcm for the whole thing is 245(z^8)(x^6)