Question

LCM of 7 ,14 ,17 is. ​

Answer 1

Answer:

LCM ;

Step-by-step explanatioN:

Write your numbers in the top row.

Divide your numbers by prime numbers as long as at least one of your numbers is evenly divisible by a prime number.

Division Table

2 7 14 17

7 7 7 17

17 1 1 17

1 1 1

Bring down any numbers that are not evenly divisible by the prime number.

When the last row of results is all 1's you are done.

Find the product of the prime numbers in the first column to get the LCM:

LCM = 2 x 7 x 17

LCM = 238

Therefore,

LCM(7, 14, 17) = 238

Answer 2

Answer:

Step-by-step explanation:

Least Common Multiple is :

     238

Calculate Least Common Multiple for :

   7, 14 and 17

Factorize of the above numbers :

   7 = 7  

   14 = 2 • 7  

   17 = 17  

Build a prime factors table

   Number of times each prime factor

   appears in the factorization of :

Prime  

Factor   Number  

7   Number  

14   Number  

17    L.C.M  

(max)  

2 0 1 0 1

7 1 1 0 1

17 0 0 1 1

LCM = 2 • 7 • 17

Least Common Multiple is :

     238

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