the least perfect square number which is divisble by 21,36,66?

• 213444
  21=3*7;
  36=2*2*3*3;
  66=11*3*2;
  take LCM; 2*2*3*3*7*11;
  For being a perfect square the factors must be in pairs;
  So least perfect square number divisible by 21,36,66 = 2*2*3*3*11*11*7*7;
• 10 years agoHelpfull: Yes(8) No(2)
• 
  LCM of 21,36,66 = (2^2)*(3^2)*(7^1)*(11^1)
  
  so min no require to multiply to get a perfect sqr= 7*11
  
  and the no is= (2^2)*(3^2)*(7^2)*(11^2)= 213444
  
• 10 years agoHelpfull: Yes(2) No(1)