the Lcm of 3,6,9,12,18​

  • matematika

    Subject:

    Math
  • Author:

    sidney
  • Created:

    1 year ago

Answers 2

Answer:

may this help.

Step-by-step explanation:

The methods to find the LCM of 3, 6, 9, and 12 are explained below.

By Division Method

By Prime Factorization Method

By Listing Multiples

answer img

To find : LCM of [tex]3,6, 9,12,18[/tex]

Solution :

  • LCM is the least common multiple of numbers .
  • To find the LCM of  [tex]3,6, 9,12,18[/tex] we find prime factors of [tex]3,6, 9,12,18[/tex]
  • Prime factors of [tex]3 = 1\times 3[/tex]
  • Prime factors of  [tex]6 = 2\times 3[/tex]
  • Prime factors  of [tex]9 = 3\times 3[/tex]
  • Prime factors of  [tex]$12=2 \times 2 \times 3$[/tex]
  • Prime factors of [tex]18 =2\times3\times 3[/tex]  
  • LCM of [tex]3,6, 9,12,18[/tex] = [tex]3\times 3\times 2\times2[/tex]

                                        [tex]= 36[/tex]  

Hence , LCM of [tex]3,6, 9,12,18[/tex] is [tex]36[/tex] .

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