HCF of 2472,1284 and a third number 'n'is 12.If their LCM is 8*9*5*103*107.then the number 'n'is..

• 2472=8*3*103
  1284=4*3*107
  so n = 4*3*x
  dividing by hcf
  2472/12=2*103
  1284/12=107
  lcm/12=2*3*5*103*107
  x=lcm/first*second
  x=2*3*5*103*107/2*103*107=3*5=15
  number is = 15*12=180
• 12 years agoHelpfull: Yes(18) No(14)
• HCF * LCM = Product of numbers (formula used )
  n1 =2472
  n2=1284
  n3=n
  HCF = 12
  LCM = 8*9*5*103*107
  n = (HCF * LCM )( n1*n2)
  on solving n = 15 .
• 9 years agoHelpfull: Yes(12) No(19)
• Farhan and rakesh your formula is right but that formula is applicable only for two polynonials . In question we have three polynomials so this formula is not applicable. so if u take hcf for the first two numbers the numbers will be 206 and 107. When you are taking LCM for that two numbers you get 2^3*3*103*107 the remaining when compared with question is 3*5 so the number taking hcf must be 15 so 15*12=180 so the third number must be 180.
• 8 years agoHelpfull: Yes(5) No(0)
• @rakesh,,,nd s r y farhan
  your ans is wrong becz 'n' number is always divisible by 12
  so n is 15 impossible
• 9 years agoHelpfull: Yes(4) No(4)
• HCF*LCM=n1*n2*n
  n=12*8*9*103*5*107/2472*1284=15
• 9 years agoHelpfull: Yes(3) No(10)
• 2472 = 2^3×3×103
  1284 = 2^2×3×107
  HCF = 2^2×3
  LCM = 2^3×3^2×5×103×107
  HCF of the numbers is the highest number which divides all the numbers.
  So N should be a multiple of 2^2×3
  LCM is the largest number that is divided by the given numbers.
  As LCM contains 3^2×5 these two are from N.
  
  So FINAL ANS
  N = 2^2×3^2×5^1
• 7 years agoHelpfull: Yes(1) No(4)