Question

using prime factorisation method find the HCF and LCM of 80 ,124 and 144 also show that HCF*LCM is not equal to product of three numbers

Answer 1

solution of hcf= 4,
solution of lcm = 22320

HCF × LCM = (4 × 22320)= 89280
product of three number = (144×124×80) = 1428480
here proved
product of three number is not equal to product of hcf and lcm

Answer 2

Answer:

LCM of 80 ,124 and 144

2   |  80 ,  124  , 144

2   |   40  ,  62  , 72

2   |   20  ,  31 ,   36

2   |    10   ,31    , 18

5   |    5,  31  ,    9

3   |    1 ,   31   , 9

3   |   1 , 31   , 3

31  |  1,   31 , 1

     |  1 ,1 , 1

LCM = $2 \times 2 \times 2 \times 2 \times 5 \times 3 \times 3 \times 31=22320$

HCF of 80 ,  124  , 144

2  | 80            2  | 124               2  | 144

2  | 40            2  |  62               2  | 72

2  | 20           31  |   31               2  | 36

2  |  10                |  1                   2  | 18

5  |  5                                         3  |  9

    |  1                                          3  | 3

                                                      | 1

$80 = 2 \times 2 \times 2 \times 2 \times 5$

$124 = 2 \times 2 \times 31$

$144 = 2 \times 2 \times 2 \times 2 \times 3 \times 3$

HCF = $2 \times 2 = 4$

Now We need to check  HCF*LCM is not equal to product of three numbers

So, $4 \times 22320 \neq 80 \times 124 \times 144$

$89280  \neq 1428480$

Hence proved