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    The LCM of fractions is calculated as LCM of the numeratorHCF of the denominator\frac{LCM \space of \space the \space nu
    Question

    The LCM of fractions is calculated as LCM of the numeratorHCF of the denominator\frac{LCM \space of \space the \space numerator}{HCF \space of \space the \space denominator}​. Find the LCM of 56,65\frac{5}{6} , \frac{6}{5} and 32.\frac{3}{2}.​​

    A.

    25

    B.

    30

    C.

    15

    D.

    20

    Correct option is B

    Given: 

    56,65,32\frac56, \frac65, \frac32 

    Solution:   

    For LCM :

    5 = 5×\times 1

    6 = 2 ×\times 3

    3 = 3 ×\times 1 

    LCM = 2×\times3×\times5 = 30 

    For HCF:

    6 = 2×\times3

    5 =  1×\times5

    2 =  1×\times2

    HCF is 1 

    So, LCM of the fraction =  301\frac{30}1​  = 30 


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