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    Find the LCM and HCF of 12, 15 and 21
    Question

    Find the LCM and HCF of 12, 15 and 21

    A.

    420, 3

    B.

    240, 21

    C.

    420, 6

    D.

    140, 3

    Correct option is A

    Given:

    Numbers: 12, 15, 21 

    Solution:

    Finding the HCF (Highest Common Factor): 

    12:22×312: 2^2 \times 3  

    15 : 3×53 \times 5​​

    21: 3×7 

    The only common factor is 3.

    HCF=3

    Finding the LCM (Least Common Multiple):

    12:22×312: 2^2 \times 3

    15 : 3×53 \times 5​​

    21: 3×7 

    LCM = 22×3×5×72^2 \times 3 \times 5 \times 7

    LCM = 4×3×5×74 \times 3 \times 5 \times 7

    LCM = 4 ×105 

    LCM = 420
    Thus, correct answer is (a) 420, 3

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