If you mean up to a result of 150 (the first 25 multiples of 6):
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.
If you mean the first 150 multiples of 6:
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, 300, 306, 312, 318, 324, 330, 336, 342, 348, 354, 360, 366, 372, 378, 384, 390, 396, 402, 408, 414, 420, 426, 432, 438, 444, 450, 456, 462, 468, 474, 480, 486, 492, 498, 504, 510, 516, 522, 528, 534, 540, 546, 552, 558, 564, 570, 576, 582, 588, 594, 600, 606, 612, 618, 624, 630, 636, 642, 648, 654, 660, 666, 672, 678, 684, 690, 696, 702, 708, 714, 720, 726, 732, 738, 744, 750, 756, 762, 768, 774, 780, 786, 792, 798, 804, 810, 816, 822, 828, 834, 840, 846, 852, 858, 864, 870, 876, 882, 888, 894, 900.
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The total number of integers that are multiples of 25 and 6 is infinite. The first few are these: 150, 300, 450, 600, 750, 900 . . .
Since the GCF of 5 and 6 is 1, their LCM is their product. The first five multiples of 30 are 30, 60, 90, 120, 150
There are four multiples of 12 between 150 and 200: 156, 168, 180, 192
The common multiples of 15 and 25 are all multiples of their LCM, which is 75. So, the common multiples are 75, 150, 225, 300, 375, 450, 525, 600, and so on.
The number of integers that are multiples of both 6 and 10 is infinite. Here are the first few: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300 . . .