SSC Quantitative Aptitude LCM & HCF Question Bank LCM and HCF (I)

  • question_answer
    The ratio of two numbers is 3 : 4 and their HCF is 4. What will be their LCM?

    A) 12

    B) 16

    C) 24

    D) 48

    Correct Answer: D

    Solution :

    [d] According to the question, 1st number \[=3\,\,m\] 2nd number \[=4\,\,m,\] where m = HCF But given, m = 4 We know that, LCM \[=\frac{\text{Product of two numbers}}{\text{HCF}}\] \[=\frac{3m\times 4m}{m}\] \[\therefore \] \[\text{LCM}=12\,m=12\times 4=48\]


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