find the least number that when divided by 16,18 and 20 leaves the same remainder 4 in each case but it is completely divisble by 7

• LCM of 16,18,20 is 720...
  (720+4)is not divisible by 7...
  (720*2+4)not divisible by7..
  .
  .
  (720*4+4)divisible by 7....
  so the ans is... 2880+4=2884
• 9 years agoHelpfull: Yes(37) No(0)
• we found lcm of 16,20,18 is 720
  for completely divisible by 7
  (720*n)+4 is completely divisible by 7
  so remender is (6n+4) is divisible by 7
  n=4 satisfied
  so answer is 720*4+4=2884
• 9 years agoHelpfull: Yes(9) No(0)
• first we have to find out the LCM of 20,18,16=720
  now 2nd condition of question i.e divisibility of 7 ,
  now check it ..720+4=724 ..this is not divide by 7
  so check another number which is multiple of 720
  .
  .
  so finally i got 720*4=2880
  then we add 4 in this number 2880+4=2884 this divisible by 7.
• 9 years agoHelpfull: Yes(1) No(3)
• lcm of the 16,18,20 is 720, and least number leaves the remainder 4 is 720+4,so while dividing 724 with 7 we get the remainder 3, 720*2+4 is while dividing give the remainder is 2, so 720*3+4 is while dividing it gives remainder 1,finally 720*4+4 is 2884 / 7 gives 0 remainder so ans is 2884
• 9 years agoHelpfull: Yes(1) No(0)
• l.c.m of 16,18 & 20 will be 720
  and the 2nd condition is must be divisible by 7
  so 720+4=724 is not divisible by 7
  now (720*n)+4 will be divisible by 7
  (720*2)+4=1444 which is not divisible by 7
  (720*3)+4=2164 which is also not divisible by 7
  now
  (720*4)+4=2884 which is completely divisible by 7
  so condition satisfied
  
• 9 years agoHelpfull: Yes(1) No(0)
• ans is 2884
• 9 years agoHelpfull: Yes(0) No(2)
• 144
  as LCM OF 16,18 AND 20 is 140.
  which also divisible by 7....so add 4
• 9 years agoHelpfull: Yes(0) No(11)
• 144
  as LCM OF 16,18 AND 20 is 140.
  which also divisible by 7....so add 4
• 9 years agoHelpfull: Yes(0) No(6)
• 364 is the correct answer
• 9 years agoHelpfull: Yes(0) No(2)
• take the LCM of 20,18,16= 720
  now
  the no will be in form of 720x+4
  2nd condition of question i.e divisibility of 7 ,
  So check it
  let x=1..720x+4=724 but this is not divisible by 7 ,so hit and trial and when we put x=4
  = 720*4=2880
  Now, add 4 in the number 2880+4=2884 and this divisible by 7.
• 2 years agoHelpfull: Yes(0) No(0)