If a number is a multiple of both 7 and 9, which of the following numbers is a p
Practice Questions
Q1
If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
63
72
81
90
Questions & Step-by-Step Solutions
If a number is a multiple of both 7 and 9, which of the following numbers is a possible candidate?
Step 1: Understand what a multiple is. A multiple of a number is the result of multiplying that number by an integer.
Step 2: Identify the numbers we are interested in: 7 and 9.
Step 3: Find the least common multiple (LCM) of 7 and 9. The LCM is the smallest number that is a multiple of both.
Step 4: Calculate the LCM of 7 and 9. Since 7 and 9 have no common factors, multiply them: 7 x 9 = 63.
Step 5: Check if 63 is a multiple of both 7 and 9. 63 divided by 7 equals 9, and 63 divided by 9 equals 7, confirming it is a multiple of both.
Step 6: Conclude that 63 is a possible candidate since it meets the criteria of being a multiple of both 7 and 9.
Multiples and Least Common Multiple (LCM) – Understanding that a number is a multiple of another if it can be expressed as the product of that number and an integer. The least common multiple of two numbers is the smallest number that is a multiple of both.
