Question

. the l.c.m. of two numbers is 4800 and their g.c.m. is 160. if one of the numbers is 480 then the other number is

Answer 1

lcm x gcm =product of numbers
which implies
4800x160=480 x other number
4800 x 160/480 = unknown number
1600 is the other number

Answer 2

Lcm x gcm = result of numbers which infers 4800 x 160 = 480 x other number 4800 x 160/480 = obscure number 1600 is the other number.

The prime factorization of the LCM: 4800=2*2*2*2*2*3*3*5*5.

The HCF must have factors that are in the two numbers.

The LCM must have factors that are in either of the numbers.