Question

136,170 ,255 hcf lcm​

Answer 1

Answer:

HCF = 17 , LCM = 2040

Step-by-step explanation:

FOR HCF SEE THE PICTURE ATTACHED

FOR LCM PLEASE SEE THE  FOLLOWING -

STEP 1. Decompose all numbers into prime factors

136 I 2

68 I 2

34 I 2

17 I 17

1  

170 I 2

85 I 5

17 I 17

1  

255 I 3

85 I 5

17 I 17

1

NOW,  

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

Prime factors of 136 = 2^3 . 17

Prime factors of 170 = 2 . 5 . 17

Prime factors of 255 = 3 . 5 . 17

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

Common prime factors: 17

Common prime factors with the greatest exponent: 17^1

Uncommon prime factors: 2 , 5 , 3

Uncommon prime factors with the greatest exponent: 2^3, 5^1, 3^1

STEP 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 = 17^1. 2^3. 5^1. 3^1 = 2040