Answer:
3600
Step-by-step explanation:
Express each number as a product of its prime factors, that is
36 = 2² × 3²
75 = 3 × 5²
80 = [tex]2^{4}[/tex] + 5
Now multiply each factor the greatest number of times it occurs in each of the 3 numbers.
2 → 4 times (that is [tex]2^{4}[/tex] )
3 → twice (3² )
5 → twice (5² )
Thus
LCM = [tex]2^{4}[/tex] × 3² × 5² = 16 × 9 × 25 = 3600
