Multiplier(K)= 1/ (1- MPC) = 1 / (1 - Change in consumption/ change in income)
= change in income/ change in income- change in consumption
= change in income/ change in savings
= change in income/ change in investment
So, the value of the multiplier and MPC are directly related as the change in consumption in respect to a given change in income becomes the change in investment which keeps on rotating unless the income becomes zero.