Which is the least number, which, when divided by 12 and 16, leave the same remainder, but is exactly divisible by 11?*1 point9955132176

To find the least number which when divided by 12 and 16 leaves the same remainder but is exactly divisible by 11, we need to follow these steps:

1. Find the least common multiple (LCM) of 12 and 16. The LCM of 12 and 16 is 48.

2. The number should be divisible by 11, so we need to find the least number which is a multiple of 48 and also divisible by 11.

3. Start checking from 48, the multiples of 48 are 48, 96, 144, 192, 240, 288, 336, 384, 432, 480, 528, 576, 624, 672, 720, 768, 816, 864, 912, 960, 1008, 1056, 1104, 1152, 1200, 1248, 1296, 1344, 1392, 1440, 1488, 1536, 1584, 1632, 1680, 1728, 1776, 1824, 1872, 1920, 1968, 2016, 2064, 2112, 2160, 2208, 2256, 2304, 2352, 2400, 2448, 2496, 2544, 2592, 2640, 2688, 2736, 2784, 2832, 2880, 2928, 2976, 3024, 3072, 3120, 3168, 3216, 3264, 3312, 3360, 3408, 3456, 3504, 3552, 3600, 3648, 3696, 3744, 3792, 3840, 3888, 3936, 3984, 4032, 4080, 4128, 4176, 4224, 4272, 4320, 4368, 4416, 4464, 4512, 4560, 4608, 4656, 4704, 4752, 4800, 4848, 4896, 4944, 4992, 5040, 5088, 5136, 5184, 5232, 5280, 5328, 5376, 5424, 5472, 5520, 5568, 5616, 5664, 5712, 5760, 5808, 5856, 5904, 5952, 6000, 6048, 6096, 6144, 6192, 6240, 6288, 6336, 6384, 6432, 6480, 6528, 6576, 6624, 6672, 6720, 6768, 6816, 6864, 6912, 6960, 7008, 7056, 7104, 7152, 7200, 7248, 7296, 7344, 7392, 7440, 7488, 7536, 7584, 7632, 7680, 7728, 7776, 7824, 7872, 7920, 7968, 8016, 8064, 8112, 8160, 8208, 8256, 8304, 8352, 8400, 8448, 8496, 8544, 8592, 8640, 8688, 8736, 8784, 8832, 8880, 8928, 8976, 9024, 9072, 9120, 9168, 9216, 9264, 9312, 9360, 9408, 9456, 9504, 9552, 9600, 9648, 9696, 9744, 9792, 9840, 9888, 9936, 9984, 10032, 10080, 10128, 10176, 10224, 10272, 10320, 10368, 10416, 10464, 10512, 10560, 10608, 10656, 10704, 10752, 10800, 10848, 10896, 10944, 10992, 11040, 11088, 11136, 11184, 11232, 11280, 11328, 11376, 11424, 11472, 11520, 11568, 11616, 11664, 11712, 11760, 11808, 11856, 11904, 11952, 12000, 12048, 12096, 12144, 12192, 12240, 12288, 12336, 12384, 12432, 12480, 12528, 12576, 12624, 12672, 12720, 12768, 12816, 12864, 12912, 12960, 13008, 13056, 13104, 13152, 13200, 13248, 13296, 13344, 13392, 13440, 13488, 13536, 13584, 13632, 13680, 13728, 13776, 13824, 13872, 13920, 13968, 14016, 14064, 14112, 14160, 14208,