Find Least Common Multiple of 15, 35 and 18 by listing out the factors.
Answer
LCM( 15, 35, 18 ) = 630
Explanation
Write down multiples of each number until you find the first common multiple:
The multipliers of 15 are: 15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, . . .
The multipliers of 35 are: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525, 560, 595, 630, 665, . . .
The multipliers of 18 are: 18, 36, 54, 72, 90, 108, 126, 144, 162, 180, 198, 216, 234, 252, 270, 288, 306, 324, 342, 360, 378, 396, 414, 432, 450, 468, 486, 504, 522, 540, 558, 576, 594, 612, 630, 648, . . .
We can see that:
LCM( 15, 35, 18 ) = 630
This solution can be visualized using a Venn diagram.
The LCM is equal to the product of all the numbers on the diagram.