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Solve example of LCM and HCF

Hello friends, welcome to mathsmell.aaj iss post me hum janenge lcm and hcf ki kuch important questions and answer ki.piche post me humne jana lcm and hcf kya hai, fullform of lcm and hcf in hindi

 Examples of LCM AND HCF:
  •  Example 1: Find LCM of 8 and 20.
Soln: Factors of 8 = 2 x 2 x 2 and Factors of 20 = 2 x 2 x 5.
Therefore LCM = 2 x 2 x 2 x 5 = 40 ans.
  • Example 2: Find the HCF of 8 and 36 .
Soln: Factors of 8 = 2 x 2 x 2 and Factors of 36 = 2 x 2 x 3 x 3
=> Common factors of 8 and 36 = 2 x 2
Therefore HCF = 4 ans.
  • Example 3: Find the LCM of 2/3, 3/4, and 4/5.
Soln: LCM OF 2, 3, and 4 / HCF of 3, 4 and 5 = 12/1 = 12 ans.
  • Example 4: Two whole numbers are in the ratio of 15:11. If their HCF is 7,The numbers are
Soln: Let the number are 15X and 11X and LCM = 15 x 11 x X= 165X.
We know that, product of two numbers = LCM x HCF
=> 15X x 11X = 165X x 7
=> 165X x X = 165X x 7
=> X = 7.
Therefore numbers are 15X = 15 x 7 =105 and 11X  = 11 x 7 = 77.
  • Example 5: The LCM of two numbers is 63 and their HCF is 9. If one of the numbers is 27.Find the other number?
Soln: Let other number is X.
We know that ,
Product of two numbers = LCM x HCF
=> 27 x X = 63 x 9
=> X = 63 x 9  / 27 = 21 ans.
  • Example 6: HCF of two number is 23 and their ratio is 3 : 7 . find the LCM of these numbers.
Soln: LCM = HCF x  Product of ratio = 23 x 3 x 7 = 483 ans.
  • Example 7: Ratio of two numbers is 4 : 5 and their HCF is 5. Find the sum of these numbers.
Soln: Sum of two numbers = sum of ratio x HCF = 9 x 5 = 45 ans.
  • Example 8: Ratio of two numbers is 2 : 5 and their LCM  is 270. Find the difference between two numbers.
Soln: Let the numbers are 2X and 5X and difference is ( 5X - 2X) = 3X
LCM of 2X and 5X = 10X = 270 => X = 27.
Therefore, Difference of two numbers is 3X = 27 x 3 = 81 ans.
  • Example 9: Ratio of three numbers is 5 : 7 : 9 and their LCM is 1260.Find the greatest number?
Soln: Let the numbers are 5X, 7X and 9X and LCM = ( 5 x 7 x 9)X
Also given that LCM = 1260.
Therefore (5 x 7 x 9)X = 1260 => X = 4.
Hence greatest number is 9X = 9 x 4 = 36 ans.

I hope solved examples of lcm and hcf in hindi post apko axha laga hoga.Agar lcm and hcf se related koi question hai too jarur comment karke baataye.

Basic concept of LCM and HCF.
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