The common multiples of 5 and 3 are the multiples of their lowest common multiple which is 15, that is they 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, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485, 1500, ...
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The easiest way to do this is to use the lowest common multiple and multiply that by a scalar. In the case of 3 and 5 the LCM is 15. So 15x where x is an integer is a common multiple of 3 and 5.
To name a few: 15, 30, 45, 60, 75, 90, 105, ....
The first is 15 then 30, 45, 60, 75, 90, 105 and 120.
The least common multiple of 3 and 5 is 15.
You can determine this by looking at the multiples of each number individually and seeing when they match:
3: 3, 6, 9, 12, 15
5: 5, 10, 15
The common multiples of 5 and 3 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, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110, 1125, 1140, 1155, 1170, 1185, 1200, 1215, 1230, 1245, 1260, 1275, 1290, 1305, 1320, 1335, 1350, 1365, 1380, 1395, 1410, 1425, 1440, 1455, 1470, 1485, 1500, ...
The multiples of 3 up to 30 are: 3,6,9,12,15,18,21,24,27,30.The multiples of 5 up to 30 are: 5,10,15,20,25,30.The only common multiples are 15 and 30.The LCM is: 30
To find the numbers between 10 and 50 that are multiples of both 3 and 5, we need to find the numbers that are multiples of the least common multiple of 3 and 5, which is 15. The multiples of 15 between 10 and 50 are 15, 30, and 45. Therefore, there are 3 numbers between 10 and 50 that are multiples of both 3 and 5.
The common multiples of 2, 3, and 5 are numbers that are divisible by all three of these numbers. To find the common multiples, we need to identify the multiples of each number and then find the numbers that appear in all three lists. The common multiples of 2, 3, and 5 are 30, 60, 90, 120, and so on, as these numbers are divisible by 2, 3, and 5 simultaneously.
15 and 30
The common multiples of any numbers are multiples of their lcm. The lcm of 2, 3, 4, 5 & 6 is 60 Thus the next four common multiples are 2 x 60, 3 x 60, 4 x 60 & 5 x 60 which are 120, 180, 240 & 300