Find Least Common Multiple of 96, 6 and 9 by listing out the factors.
Answer
LCM( 96, 6, 9 ) = 288
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 96 are: 96, 192, 288, 384, . . .
The multipliers of 6 are: 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72, 78, 84, 90, 96, 102, 108, 114, 120, 126, 132, 138, 144, 150, 156, 162, 168, 174, 180, 186, 192, 198, 204, 210, 216, 222, 228, 234, 240, 246, 252, 258, 264, 270, 276, 282, 288, 294, . . .
The multipliers of 9 are: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, . . .
We can see that:
LCM( 96, 6, 9 ) = 288
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.