Question

find P for which the lcm of 318 and 477 is expressed as 159p +318

Answer 1

Here's your answer for the question

Answer 2

Answer:

p=4

Step-by-step explanation:

To Find: find P for which the lcm of 318 and 477 is expressed as 159p +318

Solution :

3 |318,477

3 |106,159

2 |106,53

53|53,53

   | 1,1

Thus the LCM of 318 and 477 = 3*3*2*53=954

Since we are also given that LCM is 159p +318

⇒$159p +318=954$

⇒$159p =636$

⇒$p=\frac{636}{159}$

⇒$p=4$

Hence value of p is 4