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Find the HCF and LCM of …

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Find the HCF and LCM of 11008 and 7344 using fundamental theorem of arithmetic

    • Posted by Vivek Kumar 5 years, 7 months ago

    CBSE > Class 10 > Mathematics
    • 1 answers

    Yogita Ingle 5 years, 7 months ago

    The  prime factorization of 11008 is

    2|11008

    2|5504

    2|2752

    2|1376

    2|688

    2|344

    2|172

    2|86

    43|43

    1

    11008=2×2×2×2×2×2×2×2×43

    11008=2^8×43

    The prime factorization of 7344 is

    2|7344

    2|3672

    2|1836

    2|918

    3|459

    3|153

    3|51

    17|17

    1

    7344=2×2×2×2×3×3×3×17

    7344=2^4×3^3×17

    Now, HCF=Product of the smallest power of each common

    prime factor in the numbers.

    HCF=2^4=16

    LCM = Product of the greatest power of each prime factor,

    involved in the numbers.

    LCM=2^8×43×3^3×17=256×43×27×17=5052672

    0Thank You

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