Find the L.c.m of 21, 63, 105 by Prime Factorization method​

Answers 2

Answer:

: The number are 21 , 63 , 105.

To Find : The LCM using division method. Solution : Decompose all the numbers into prime factor.

Applying Long Division Method. So, Prime factor of 21 = 3 × 7. Prime factor of 63 = 3 × 3 × 7. Prime factor of 105 = 3 × 5 × 7. ...

= 315. Hence, The LCM using division method is 315 .

Answer:

The L.c.m of 21, 63, 105 is 315.

Step-by-step explanation:

Step 1:

Find factors of the given number

Prime factor of 21 is 3 × 7

Prime factor of 63 is  3 × 3 × 7

Prime factor of 105 is 3 × 5 × 7

Now find common prime factor

Common prime factor = 3 ×  7

And uncommon factor = 5 × 3

Step 2:

The highest power of common prime factor =   3 ×  7 ×  5 × 3 =315    

Hence, The LCM is 315.

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