LCM Sudoku II

Age 11 to 18

Challenge Level Yellow star

Like the standard sudoku, this sudoku variant has the basic rule:

Every row, every column and every $3\times 3$ box in the grids contains the digits $1$ through $9$ .

The puzzle can be solved by finding the values of the unknown digits (all indicated by asterisks) in the squares of the

$9\times 9$ grid. At the bottom and right side of the

$9\times 9$ grid are numbers, each of which is the Least Common Multiple (LCM) of a column or row of unknown digits marked by asterisks.

Altogether

$18$ Least Common Multiples of

$9$ columns and

$9$ rows of unknown digits are given as clues for solving the puzzle.

As an example, the LCM of

$3$ ,

$9$ ,

$6$ ,

$4$ ,

$2$ and

$1$ is

$36$ . In the puzzle, the LCM of the four unknown digits in the second column beginning from the left of the

$9\times 9$ grid is

$36$ , while the LCM of the four unknown digits in the seventh row beginning from the top of the

$9\times 9$ grid is

$120$ .

After finding the values of all the unknown digits, the puzzle is solved by the usual sudoku technique and strategy.

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