Question

use unique prime factorization theorem to find the LCM and HCF of 136 and 228

Answer 1

Hi friend,

For prime factorization theorem ;-

136 = 2^3 × 17 ;

228 = 2^ × 2 × 19 ;

LCM ( 136 ; 228 ) = 2^3 × 3 × 17 × 19 = 7,752 ;

The HCF of 136 is 34


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Answer 2

Answer:

HCF is 4 and LCM is 7752.

Step-by-step explanation:

Given : Number 136 and 228

To find : The LCM and HCF ?

Solution :  

The prime factors of the given numbers are

$136=2\times 2\times 2\times 17$

$228=2\times 2\times 3\times 19$

The HCF is the highest common factor

$HCF(136,228)=2\times 2=4$

Now, The LCM of the numbers are

2| 136    228

2| 68      114

2| 34      57

3| 17       57

17| 17       19

19 | 1        19

    | 1        1

The LCM of 136,228  is  

$LCM(136,228)=2\times 2\times 2\times 3\times 17\times 19$  

$LCM(136,228)=7752$

Therefore, HCF is 4 and LCM is 7752.