what is the lcm for 12,14 and 16?

Answer 1

First figure the prime factors of each number:
12 = 2 x 2 x 3
14 = 2 x 7
16 = 2 x 2 x 2 x 2

Now pick the factors to cover all these numbers (four 2s, one 3, one 7). Multiply them to get the lowest common multiple.

LCM = 2 x 2 x 2 x 2 x 3 x 7 = 336

As a double check:
Multiples of 12: 12, 24, 36, 48, ..., 300, 312, 324, 336, ...
Multiples of 14: 14, 28, 42, 56, ..., 284, 298, 312, 336, ...
Multiples of 16: 16, 32, 48, 64, ..., 288, 304, 320, 336, ...

Answer 2

To get the least common multiple of the following numbers, use the prime factorization:
12 = 2, 2, 3
14 = 2, 7
16 = 2, 2, 2, 2
Then, get all the factors. Note: use common factors once.
LCM = 2 x 2 x 2 x 2 x 3 x 7 = 336

Answer 3

336.

12 14 16
24 28 32
36 42 48
48 56 64
60 70 80
72 84 96
84 98 112
96 112 128
108 126 144
120 140 160
132 154 176
144 168 192
156 182 208
168 196 224
180 210 240
192 224 256
204 238 272
216 252 288
228 266 304
240 280 320
252 294 336
264 308 352
276 322 368
288 336 384
300 350 400
312 364 416
324 378 432
336 392 448

Answer 4

336