Alright, let's work through 1564 times 3760 step by step
1564 × 3760 = 3760 × (1564)
+ 3760 × 4 which equals 15040
+ 3760 × 60 which equals 225600
+ 3760 × 500 what gives us 1880000
+ 3760 × 1000 giving us 3760000

= 5880640
