MathematicsState true or false.It is possible that HCF and LCM of two numbers can be 24 and 540 respectively?

State true or false.


It is possible that HCF and LCM of two numbers can be 24 and 540 respectively?


  1. A
    True
  2. B
    False 

    Fill Out the Form for Expert Academic Guidance!l



    +91



    Live ClassesBooksTest SeriesSelf Learning



    Verify OTP Code (required)

    I agree to the terms and conditions and privacy policy.

    Solution:

    It is required to find whether that HCF and LCM of two numbers can be 24 and 540 are possible.
    Fundamental Theorem of Arithmetic states every composite number can be expressed as a product of primes, and this factorization is unique except for the order in which the prime factors occur.
    HCF of two numbers Error parsing MathML: error on line 2 at column 14: Namespace prefix m on semantics is not definederror on line 4 at column 9: Namespace prefix m on mo is not defined .
    LCM of two numbers Error parsing MathML: error on line 2 at column 14: Namespace prefix m on semantics is not definederror on line 4 at column 9: Namespace prefix m on mo is not defined .
    Always a multiple of HCF is LCM. In other words, HCF totally divides LCM. Now, Error parsing MathML: error on line 2 at column 14: Namespace prefix m on semantics is not definederror on line 4 at column 10: Namespace prefix m on mtr is not definederror on line 5 at column 11: Namespace prefix m on mtd is not definederror on line 6 at column 14: Namespace prefix m on mfrac is not definederror on line 8 at column 13: Namespace prefix m on mi is not definederror on line 9 at column 14: Namespace prefix m on mrow is not definederror on line 10 at column 13: Namespace prefix m on mi is not definederror on line 12 at column 11: Namespace prefix m on mo is not definederror on line 13 at column 14: Namespace prefix m on mrow is not definederror on line 14 at column 13: Namespace prefix m on mn is not definederror on line 15 at column 14: Namespace prefix m on mrow is not definederror on line 16 at column 13: Namespace prefix m on mn is not definederror on line 21 at column 10: Namespace prefix m on mtr is not definederror on line 22 at column 11: Namespace prefix m on mtd is not definederror on line 23 at column 28: Namespace prefix m on mfrac is not definederror on line 24 at column 14: Namespace prefix m on mrow is not definederror on line 25 at column 13: Namespace prefix m on mn is not definederror on line 26 at column 12: Namespace prefix m on mn is not definederror on line 31 at column 10: Namespace prefix m on mtr is not definederror on line 32 at column 11: Namespace prefix m on mtd is not definederror on line 33 at column 25: Namespace prefix m on mn is not defined 
    Hence, two numbers cannot have HCF and LCM as 24 and 540 respectively.
    Therefore, the given statement is false.
    Thus, option 2 is correct.
     
    Chat on WhatsApp Call Infinity Learn
    chat-icon
    0