Register
There are exactly 77000 ordered quadruples (a,b, c,d) such that gcd (a,b, c,d) =77 and lcm (a,b, c,d) =n, What is the smallest possible value of n?
107k views
0 votes
There are exactly 77000 ordered quadruples (a,b, c,d) such that gcd (a,b, c,d) =77 and lcm (a,b, c,d) =n, What is the smallest possible value of n?

User Fvannee
by
7.2k points

1 Answer

3 votes

Answer: 27,720

Explanation:

This is 2016 AMC 12 B Problem 24. See the attached solution.

There are exactly 77000 ordered quadruples (a,b, c,d) such that gcd (a,b, c,d) =77 and-example-1
User Rene Zammit
by
8.0k points
Ask a Question
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

8.3m questions

10.9m answers

Other Questions

How do you can you solve this problem 37 + y = 87; y =
How do you estimate of 4 5/8 X 1/3
A bathtub is being filled with water. After 3 minutes 4/5 of the tub is full. Assuming the rate is constant, how much longer will it take to fill the tub?
Write words to match the expression. 24- ( 6+3)
A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83 or a chair and a desk for $77. Find the price of a chair, table, and of a desk.
Link Copied!