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Find HCF of 96 and 404 by prime factorization method hence find their LCM with full procedure​

Answer» <html><body><p><strong>p</strong><strong>l</strong><strong>s</strong><strong> </strong><strong>t</strong><strong>h</strong><strong>a</strong><strong>n</strong><strong>k</strong><strong> </strong><strong>a</strong><strong>n</strong><strong>d</strong><strong> </strong><strong>5</strong><strong> </strong><strong>s</strong><strong>t</strong><strong>a</strong><strong>r</strong></p><p></p><p><strong>Step-by-step <a href="https://interviewquestions.tuteehub.com/tag/explanation-455162" style="font-weight:bold;" target="_blank" title="Click to know more about EXPLANATION">EXPLANATION</a>:</strong></p><p>Represent <a href="https://interviewquestions.tuteehub.com/tag/96-342541" style="font-weight:bold;" target="_blank" title="Click to know more about 96">96</a> and 404 as a product of its prime factors.</p><p>Prime factorization  of 96 is 2 × 2 × 2 × 2 × 2 × 3 </p><p>Prime factorization of 404 is 2 × 2 × 101</p><p>HCF is the product of the factors that are common to each of the given numbers.</p><p>Since, the common factors are 2 and 2, the HCF of 96 and 404 is 4</p><p>We will use the formula to calculate the LCM (a, b):</p><p>LCM (a, b) = (a × b) / HCF (a, b)</p><p>HCF (a, b) is the highest common factor of a and b.</p><p>Using the formula,</p><p>LCM (96, 404) = (96 × 404) / HCF (96, 404)</p><p>By <a href="https://interviewquestions.tuteehub.com/tag/substituting-1231652" style="font-weight:bold;" target="_blank" title="Click to know more about SUBSTITUTING">SUBSTITUTING</a> the <a href="https://interviewquestions.tuteehub.com/tag/values-25920" style="font-weight:bold;" target="_blank" title="Click to know more about VALUES">VALUES</a>,</p><p>                        = (96 × 404) / 4</p><p>                        = 96 × 101</p><p>                        = 9696</p><p></p><p>Therefore, the HCF of 96 and 404 is 4, and the LCM of 96 and 404 is 9696</p></body></html>


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