Question

Find the smallest square number that is divisible by each of the numbers 4,7 and 12

Answer 1

Answer:

         42² = 1764

Step-by-step explanation:

4 = 2², so the square number that we want must be divisible by 2².

7 = 7¹, so the square number that we want must be divisible by 7².

12 = 2² × 3¹, so the square number that we want must be divisible by 2² and by 3².

All together, the smallest such square number is:

    2² × 3² × 7² = (2 × 3 × 7)² = 42² = 1764