Wednesday, 14 October 2015

HCF AND LCM WITH BRACH METHOD CALCULATOR

HCF AND LCM WITH BRACH METHOD CALCULATOR


HIGHEST COMMON FACTOR AND LOWEST COMMON MULTIPLE


Oops, a mistake was made calculating the HCF and LCM!

Divided into Prime Factors

 = Number should be between 2 and 500000 2 × 2 × 3 × 3 × 3 × 3 ×   = 22 × 34 ×
= Number should be between 2 and 500000 2 × 3 × 3 × 3 × 3 ×   = 21 × 34 ×
= Number should be between 2 and 500000 2 × 2 × 3 × 3 × 3 ×   = 22 × 33 ×

Highest Common Factor

  • HCF (324,162,108)
  • =
  • 2 ×
  • 3 ×
  • 3 ×
  • 3 ×
  • =
  • 21 ×
  • 33 ×
  • =
  • 54


324 = 2 × 2 × 3 × 3 × 3 × 3 ×   = 22 × 34 ×
162 = 2 × 3 × 3 × 3 × 3 ×   = 21 × 34 ×
108 = 2 × 2 × 3 × 3 × 3 ×   = 22 × 33 ×

Look at the prime factors in index form. See which factors are common to each number (appear in all of the rows) and take the ones with the smallest power and multiply them all together

Lowest Common Multiple

  • LCM (324,162,108)
  • =
  • 2 ×
  • 2 ×
  • 3 ×
  • 3 ×
  • 3 ×
  • 3 ×
  • =
  • 22 ×
  • 34 ×
  • =
  • 324


324 = 2 × 2 × 3 × 3 × 3 × 3 ×   = 22 × 34 ×
162 = 2 × 3 × 3 × 3 × 3 ×   = 21 × 34 ×
108 = 2 × 2 × 3 × 3 × 3 ×   = 22 × 33 ×

Look at the prime factors in index form. Take the ones with the largest power and multiply them all together. Note that these do not have to be common this time.





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