The sum of the reciprocals of three distinct natural numbers is 31/30 . What is the least possible product of three such natural numbers?

Question

The sum of the reciprocals of three distinct natural numbers is 31/30 . What is the least possible product of three such natural numbers?
🧐 Not the exact question you are looking for?Go ask a question

Solution 1

This problem can be solved by using the concept of harmonic progression and the properties of natural numbers.

Step 1: The problem states that the sum of the reciprocals of three distinct natural numbers is 31/30. This can be written as:

1/a + 1/b + 1/c = 31/30

Step 2: To simplify the equation Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

This problem has been solved

Similar Questions

The sum of the reciprocals of three distinct natural numbers is 31/30 . What is the least possible product of three such natural numbers?

The sum of three distinct natural numbers is 20. What can be the maximum value of their product?

The product of tow natural numbers is 17. what is the sum of the squares of their reciprocals?

The sum of the two natural numbers is 12 and their product is 35. What is the sum of the reciprocals of two numbers?

The sum of two numbers is 25 and their product is 144. What will be the sum of their reciprocals?

1/3