We present results based on Y JK s photometry of star clusters in the Large Magellanic Cloud (LMC), distributed throughout the central part of the galaxy's bar and the 30 Doradus region. We analysed the field-star decontaminated colour-magnitude diagrams of 313 clusters to estimate their reddening values and ages. The clusters are affected by a mean reddening of E(B − V ) ∈ [0.2, 0.3] mag, where the average internal LMC reddening amounts to ∼ 0.1-0.2 mag. The region covering 30 Doradus includes clusters with reddening values in excess of E(B − V ) = 0.4 mag. Our cluster sample spans the age range 7.0 log(t yr −1 ) < 9.0, represents an increase of 30 per cent in terms of the number of clusters with robust age estimates and comprises a statistically complete sample in the LMC regions of interest here. The resulting cluster frequencies suggest that the outermost regions of the LMC bar first experienced enhanced cluster formation -log(t yr −1 ) ∈ [8.5, 9.0] -before the activity proceeded, although in a patchy manner, to the innermost regions, for log(t yr −1 ) < 7.7. Cluster frequencies in the 30 Doradus region show that the area is dominated by very recent cluster formation. The derived star-formation frequencies suggest that the cluster and field-star populations do not seem to have fully evolved as fully coupled systems during the last ∼ 100 Myr.