Question

find the LCM of following using prime factorization method (1) 110,205​

Answer 1

Step-by-step explanation:

. Decompose all numbers into prime factors

110 2 55 5 11 11 1 205 5 41 41 1 305 5 61 61 1

2. Write all numbers as the product of its prime factors

Prime factors of 110 = 2 . 5 . 11

Prime factors of 205 = 5 . 41

Prime factors of 305 = 5 . 61

3. Choose the common and uncommon prime factors with the greatest exponent

Common prime factors: 5

Common prime factors with the greatest exponent: 51

Uncommon prime factors: 2 , 11 , 41 , 61

Uncommon prime factors with the greatest exponent: 21, 111, 411, 611

4. Calculate the Least Common Multiple or LCM

Remember, to find the LCM of several numbers you must multiply the common and uncommon prime factors with the greatest exponent of those numbers.

LCM = 51. 21. 111. 411. 611 = 275110