Method 1: By Listing Multiples
List out all multiples of each number, and find the first common one.
Multiples of 2
: 2, 4, 6 ... 26, 28, 30, ...
Multiples of 5
: 5, 10, 15, 20, 25, 30, ...
Multiples of 6
: 6, 12, 18, 24, 30, ...
Therefore, the LCM is 303030.
Method 2: By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
Prime Factors of 2
: 2
Prime Factors of 5
: 5
Prime Factors of 6
: 2, 3
Therefore, the LCM is 2×3×5=30.
LCM = 30