LCM of 28, 36, 45 and 60
2026-02-28 13:05 Diff

Listing multiples method involves writing the multiples of each number and identifying the smallest common multiple.

  • Let us find LCM of 28, 36, 45 and 60 using this method.
  • In this method, we have to list multiples of all the given numbers. 
  • Identify the common multiples among all the multiples


Find the least common multiple 

Multiples of 28 = 28, 56, 84, 112, 140, 168, 196, 224, 252, 280, 308, 336, 364, 392, 420, 448, 476, 504, 532, 560, 588, 616, 644, 672, 700, 728, 756, 784, 812, 840, 868, 896, 924, 952, 980, 1008, 1036, 1064, 1092, 1120, 1148, 1176, 1204, 1232,1260. 

Multiples of 36 = 36, 72, 108, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152,1188, 1224, 1260. 

Multiples of 45 = 45, 90, 135, 225, 270, 315, 360, 405, 450, 495, 540, 585, 630, 675, 720, 765, 810, 855, 900, 945, 990, 1035, 1080, 1125, 1170, 1215, 1260. 

Multiples of 60 = 60,120,180,240,300,360,420,480,540,600,660,720,780,840,900,960,1020,1080, 1140, 1200, 1260. 

1260 is the only common number among all the multiples of 28, 36, 45 and 60 and the smallest common multiple is 1260.