Question

The gratest number which divides 204 and 714 exactly is 34 find the smallest number which is divisible by 204 and 714

Answer 1

Step-by-step explanation:

First of all, do the method of prime factorization

2|204|714

2|102 |357

3|51 |357

7|17 |119

17|17 |17

|1 |1

So the LCM is

$2 \times 2 \times 3 \times 7 \times 17 \\ 4 \times 21 \times 17 \\ 84 \times 17 \\ 1176$