\[2,6,28\]

Method 1: By Listing Multiples
1
List the multiples of each number.
Multiples of 2
: 2, 4, 6, ... , 80, 82, 84, ...
Multiples of 6
: 6, 12, 18, ... , 72, 78, 84, ...
Multiples of 28
: 28, 56, 84, ...
2
Find the smallest number that is shared by all rows above. This is the LCM.
LCM = 8484

Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 2
: 2
Prime Factors of 6
: 2, 3
Prime Factors of 28
: 2, 2, 7
2
Find the union of these primes.
2,2,3,72,2,3,7

3
Multiply these numbers: 2×2×3×7=842\times 2\times 3\times 7=84. This is the LCM.
LCM = 8484

Done

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