Understanding Lcm For 8 And 14

LCM of 8 and 14 How to Find LCM of 8, 14? from www.cuemath.com

Introduction

In mathematics, LCM stands for Least Common Multiple. It is the smallest positive integer that is divisible by two or more given numbers without any remainder. LCM is a frequently used concept in mathematics, and it has various applications in real-life problems.

Calculation of LCM for 8 and 14

To understand the calculation of LCM for 8 and 14, we need to first find the multiples of each number. The multiples of 8 are 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152, 160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488, 496, 504, 512, 520, 528, 536, 544, 552, 560, 568, 576, 584, 592, 600, 608, 616, 624, 632, 640, 648, 656, 664, 672, 680, 688, 696, 704, 712, 720, 728, 736, 744, 752, 760, 768, 776, 784, 792, 800, 808, 816, 824, 832, 840, 848, 856, 864, 872, 880, 888, 896, 904, 912, 920, 928, 936, 944, 952, 960, 968, 976, 984, 992, 1000, etc. Similarly, the multiples of 14 are 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224, 238, 252, 266, 280, 294, 308, 322, 336, 350, 364, 378, 392, 406, 420, 434, 448, 462, 476, 490, 504, 518, 532, 546, 560, 574, 588, 602, 616, 630, 644, 658, 672, 686, 700, 714, 728, 742, 756, 770, 784, 798, 812, 826, 840, 854, 868, 882, 896, 910, 924, 938, 952, 966, 980, 994, 1008, etc.

Finding the Common Multiples

The next step is to find the common multiples of 8 and 14. The common multiples are the numbers that appear in both the multiples of 8 and 14. From the above multiples, we can see that the common multiples of 8 and 14 are 56, 112, 168, 224, 280, 336, 392, 448, 504, 560, 616, 672, 728, 784, 840, 896, 952, and so on.

Determining the Least Common Multiple

Finally, we need to determine the least common multiple from the list of common multiples. The least common multiple is the smallest number that is divisible by both 8 and 14. From the above list, we can see that the least common multiple of 8 and 14 is 56.

Conclusion

In conclusion, the LCM of 8 and 14 is 56. It is the smallest positive integer that is divisible by both 8 and 14 without any remainder. LCM is an essential concept in mathematics, and it has various applications in real-life problems. By understanding the calculation of LCM, we can solve many mathematical problems efficiently.