Answer:
3600
Explanation:
Express each number as a product of its prime factors, that is
36 = 2² × 3²
75 = 3 × 5²
80 =
+ 5
Now multiply each factor the greatest number of times it occurs in each of the 3 numbers.
2 → 4 times (that is
)
3 → twice (3² )
5 → twice (5² )
Thus
LCM =
× 3² × 5² = 16 × 9 × 25 = 3600