Answer:
Given expressions are,
217 x 328 x 11
213 x 345 x 74,
Since, 217 = 7 × 31
328 = 2 × 2 × 2 × 41,
11 = 1 × 11,
So, we can write, 217 x 328 x 11 = 7 × 31 × 2 × 2 × 2 × 41 × 1 × 11
Now, 213 = 3 × 71
345 = 3 × 5 × 23,
74 = 2 × 37,
So, 213 x 345 x 74 = 3 × 71 × 3 × 5 × 23 × 3 × 5 × 23
Thus, GCF ( greatest common factor ) of the given expressions = 1 ( because there are no common factors )
We know that if two numbers have GCF 1 then their LCM is obtained by multiplying them,
Hence, LCM ( least common multiple ) of the given expressions = 217 x 328 x 11 x 213 x 345 x 74