Question

find the LCM of 175,182,350 using common division method​

Answer 1

Answer:

Decompose all numbers into prime factors

175 5 35 5 7 7 1 182 2 91 7 13 13 1 350 2 175 5 35 5 7 7 1

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

Prime factors of 175 = 52 . 7

Prime factors of 182 = 2 . 7 . 13

Prime factors of 350 = 2 . 52 . 7

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

Common prime factors: 7

Common prime factors with the greatest exponent: 71

Uncommon prime factors: 5 , 2 , 13

Uncommon prime factors with the

LCM = 71. 52. 21. 131 = 4550