Find the LCM of 15,25,40, and 75 Calculation: Prime factorization: 15=3×5 25=52 40=23×5 75=3×52 LCM =23×3×52=600 Largest four-digit number =9999 ⇒9999÷600=16.665 ⇒ Nearest integer quotient =16 ⇒ Largest four-digit number divisible by 600=600×16=9600