IDNStudy.com, ang iyong mapagkakatiwalaang mapagkukunan para sa eksaktong at maaasahang mga sagot. Magtanong ng anumang bagay at makatanggap ng detalyadong sagot mula sa aming komunidad ng mga eksperto.

find the LCM of 36 and 72​

Sagot :

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

[tex]______________________________[/tex]

✏️LCM

[tex]______________________________[/tex]

Find The LCM of 36 and 72

[tex]______________________________[/tex]

[tex] \huge{ \blue{ \bold{ANSWER:}}}[/tex]

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

[tex]______________________________[/tex]

[tex] \huge{ \blue{ \bold{Solution:}}}[/tex]

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]

[tex]______________________________[/tex]

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

[tex]______________________________[/tex]

GCF Method

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

[tex]______________________________[/tex]