Kenadrianpancilesviz
Answered

find the LCM of 36 and 72​

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MUfInSsviz

[tex]\huge\bold\red|{{Methematics}}[/tex]

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✏️LCM

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Find The LCM of 36 and 72

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[tex]\boxed{\green{LCM: 72}}[/tex]

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Lists by Multiplies

  • Multiplies of 36: 36, 72, 108, 144
  • Multiplies of 72: 72, 144, 216

Therefore, The LCM of 36 and 72 is

[tex] \huge\blue{ \sf{72}}[/tex]

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Prime Factorization

  • Prime Factorization of 36: 2 x 2 x 3 x 3
  • Prime Factorization of 72: 2 x 2 x 2 x 3 x 3

For each prime factor, find where it occurs most often as a factor and write it that many times in a new list.

The new superset list is:

  • 2, 2, 2, 3, 3

LCM= 2 x 2 x 2 x 3 x 3=72

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GCF Method

  • LCM(36,72) = (36 × 72) / GCF(36,72)
  • = (36 × 72) / 36
  • = 2592 / 36
  • = 72

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