Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

A.40
B.80
C.120
D.200

• let x be a number
  so let the original numbers be 3x,4x,5x
  so 60x=2400
  x= 40
  so the H.C.F. is 40
• 11 years agoHelpfull: Yes(2) No(1)
• lcm of 3x,4x,5x=60x
  given 60x=2400
  =>x=40
  no's are 3*40,4*40,5*40
  their hcf=40
• 11 years agoHelpfull: Yes(1) No(0)
• the answer is 40.
  the numbers are 120,160,200
  ratio of these numbers are:- 3:4:5
  the lcm is -- 2400
  
• 11 years agoHelpfull: Yes(0) No(1)
• 3x,4x,5x;
  
  LCM is 60x;
  60x=2400;
  x=40;
  HCF is 40;
• 11 years agoHelpfull: Yes(0) No(1)
• 3x+4x+5x=2400
  12x=2400
  x=2400/12
  x=200
  
  so the hcf is 200
  
  **
  for cross check-----
  
  3*200=600
  4*200=800
  5*200=1000
  
  so,600+800+1000=2400 which is the lcm**
• 11 years agoHelpfull: Yes(0) No(2)