Question

Find hcf of 135 and 75 by prime factorization method hence find LCM and HCF of 135, 75 and 20

Answer 1

135=75*1+60

75=60*1+15. 60=15*4+0. 15 is the HCF. LCM:135,75&20:5*5*2*2*17*3=5100. HCF :135=17*5. 75=5*5*3. 20=5*2*2. Common factor is 5

Answer 2

HCF(135,75)=15

HCF( 135, 75,20)=5

LCM( 135, 75,20)=2700

Step-by-step explanation:

To find : HCF of 135 and 75 by prime factorization method hence find LCM and HCF of 135, 75 and 20 ?

Solution :

Factories the numbers first,

$135=3\times 3\times 3\times 5$

$75=3\times 5\times 5$

$20=2\times 2\times 5$

HCF is the highest common factor,

$HCF(135,75)=3\times 5$

$HCF(135,75)=15$

Now, HCF of  135, 75 and 20

$HCF( 135, 75,20)=5$

LCM is the least common multiple,

$LCM( 135, 75,20)=3\times 3\times 3\times 2\times 2\times 5\times 5$

$LCM( 135, 75,20)=2700$

#Learn more

HCF OF 50, 135 and 75

https://brainly.in/question/15821448