In the context of factors and multiples, which of the following statements is true?
Practice Questions
1 question
Q1
In the context of factors and multiples, which of the following statements is true?
Every multiple of a number is also a factor of that number.
A factor of a number is always greater than the number itself.
The least common multiple of two numbers is always greater than or equal to both numbers.
Factors of a number can only be positive.
The least common multiple (LCM) of two numbers is defined as the smallest number that is a multiple of both. Therefore, it is always greater than or equal to both numbers.
Questions & Step-by-step Solutions
1 item
Q
Q: In the context of factors and multiples, which of the following statements is true?
Solution: The least common multiple (LCM) of two numbers is defined as the smallest number that is a multiple of both. Therefore, it is always greater than or equal to both numbers.
Steps: 4
Step 1: Understand what a multiple is. A multiple of a number is what you get when you multiply that number by an integer (like 1, 2, 3, etc.).
Step 2: Know what the least common multiple (LCM) is. The LCM of two numbers is the smallest number that both numbers can divide into without leaving a remainder.
Step 3: Realize that since the LCM is a multiple of both numbers, it must be at least as large as the larger of the two numbers.
Step 4: Conclude that the LCM is always greater than or equal to both numbers because it is the smallest common multiple.
