product of HCF and LCM = 2352*98 = 230496
factor of 230496 = 2^5 * 3 * 7^4 .
now by hit and trial try to find two numbers using above factors ----:::
first number = 2^2 * 7^2 = 196 .
second number = remaining of other factors = 2^3 * 3 * 7^2 = 1176 .
and now the sum of two numbers is 1176 + 196 = 1372 .