Math, asked by jayalaxmi7809, 8 months ago

the LCM of 22,54, and 108 is​

Answers

Answered by Mashalbaigo
8

Answer:

5940

Explanation:

22 = 2 x 11

54 = 2×33

108 = 22×33

135 = 33×5  

198 = 2×32×11

∴ L.C.M = 22×33×5×11=5940

Subject: HCF and LCM - Quantitative Aptitude - Arithmetic Ability

HOPE HELPFUL!!

Answered by swethassynergy
1

1188 is the LCM.        

LCM of 22, 54, 108​ is 1188.    

Step-by-step explanation:

Given:

LCM of 48, 108, 280​    

To find:

LCM to the values

Solution:

  • LCM is the Minimal common multiple, and it is the minimal non-zero same number which will be the factors of given numbers.
  • We need to find the factors of each term from that we have to comprise the least common number which is LCM.
  • We need to find the largest powers in each term and factors of all values to commute LCM.

LCM of 22, 54, 108​

We are finding the factors of all the values 22,54,108.

22⇒2×11

    ⇒2×11

54⇒2×27

      ⇒2×3×9

      ⇒2×3×3×3

108⇒2×54

     ⇒2×2×27

     ⇒2×2×3×9

     ⇒2×2×3×3×3

To find the LCM we have to commute the multiplies, 2 which has the largest power of 2² which is 2×2, 3 which has the largest power of 3³ which is 3×3×3, and 11.

LCM of 48, 108, 280​⇒2²×3³×11

                                 ⇒2×2×3×3×3×11

                                 ⇒4×27×11

                                 ⇒1188    

Hence,

LCM of 22, 54, 108​ is 1188.    

1188 is the LCM      

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