ind the numbers between 100 to 400 which is divisible by either 2,3,5,7...

• lcm of 2,3,5,7=210
• 9 years agoHelpfull: Yes(11) No(8)
• Total number of numbers between [a,b] (i.e. from a up to b)divisible by a number x=⌊ax⌋−⌈bx⌉+1
  
  Following the above,
  
  Total number of numbers between 100 to 400 is divisible by 2 = 151
  Total number of numbers between 100 to 400 is divisible by 3 = 100
  Total number of numbers between 100 to 400 is divisible by 5 = 61
  Total number of numbers between 100 to 400 is divisible by 7 = 43
  
  
  
  Total number of numbers between 100 to 400 is divisible by 2x3 = 50
  Total number of numbers between 100 to 400 is divisible by 2x5= 31
  Total number of numbers between 100 to 400 is divisible by 2x7 = 21
  Total number of numbers between 100 to 400 is divisible by 3x5 = 20
  Total number of numbers between 100 to 400 is divisible by 3x7 = 15
  Total number of numbers between 100 to 400 is divisible by 5x7 = 9
  
  Total number of numbers between 100 to 400 is divisible by 2x3x5 = 10
  Total number of numbers between 100 to 400 is divisible by 2x3x7= 7
  Total number of numbers between 100 to 400 is divisible by 2x5x7 =4
  Total number of numbers between 100 to 400 is divisible by 3x5x7 = 3
  
  Total number of numbers between 100 to 400 is divisible by 2x3x5x7 = 1
  Thus, the answer is
  (151+100+61+43)−(50+31+21+20+15+9)+(10+7+4+3)−1=232
• 9 years agoHelpfull: Yes(6) No(5)
• lcm of 2,3,5,7 (2*3*5*7)=210 is ans
• 9 years agoHelpfull: Yes(5) No(5)
• The correct answer is 210. The question is which no. is divisible by either 2,3,5,7 between 100 to 400?. so i you take lcm, that would be the answer.
• 9 years agoHelpfull: Yes(5) No(1)
• total no bw 100 and 400 are 300
  so 300/2 = 150
  300/3 = 100 but some no. are there which can be devided by 2 also so 50
  300/5 = 60 but some no. are devided by 2 n 3 also so 12
  300/7=42 but no devided by 2,3 ,5 also so 9
  total no. is= 150 +50+12+9 =221
• 9 years agoHelpfull: Yes(2) No(1)
• (150+100+60+42-50-12-9-1)=280
• 9 years agoHelpfull: Yes(1) No(0)
• @gourav_kapoor, can you explain the steps in details?
• 9 years agoHelpfull: Yes(0) No(0)
• i could not get your solution Gourav...plzz explain a little bit more.
• 9 years agoHelpfull: Yes(0) No(0)
• the numbers bw 100 to 400 which are devisible by either 2,3,5,7 means lcm of those 2,3,4,7
• 9 years agoHelpfull: Yes(0) No(0)
• 232 is the answer
• 7 years agoHelpfull: Yes(0) No(0)