Math, asked by kamalkumarnayak8658, 1 month ago

1 Find the H.C.F. and L.C.M. of the following numbers: (a) 408 and 1530 ​

Answers

Answered by Diliptalapda
1

Answer:

HCF::-----

  • Prime  \: Factors  \: of \:  408 \: </li></ul><p></p><ul><li> : 2, 2, 2, 3, 17</li></ul><p></p><ul><li> \\ Prime  \: Factors \:  of \:  1530</li></ul><p></p><ul><li> : 2, 3, 3, 5, 17</li></ul><p></p><p></p><p>

    • Find  \: the  \: intersection \: \\   of \:  these \:  primes. \:  \\ </li></ul><p></p><ul><li>2,3,172,3,17</li></ul><p></p><p></p><p>

       </p><p></p><ul><li>Multiply  \: these \:  numbers: \\  2\times 3\times 17 \\  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  =1022×3×17 \\ =102. </li></ul><p></p><p>

      LCM:----

      Step-by-step explanation:

      • Multiples  \:  \:  of  \: 408</li></ul><p></p><ul><li> : 408, 816, 1224, ... , 5304, 5712, 6120, ...
      • Multiples  \: of \:  1530 \: </li></ul><p></p><ul><li> : 1530, 3060, 4590, 6120, ...
      • Find  \: the  \: smallest  \: number \\  that  \: is  \: shared \:  by \:  \\  all  \: rows  \: above. \: \\   This \:  is  \: the \:  LCM. \:  \\ </li></ul><p></p><ul><li>LCM = 6120</li></ul><p></p><p></p><p>

Answered by Anonymous
1

Answer:

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