Mathematics LCM Quiz

Least Common Multiple

• The least common multiple (LCM) of 11 and 2 is 22.
• This is because 22 is the smallest number that is a multiple of both 11 and 2.
• The multiples of 11 are: 11, 22, 33, 44, and so on.
• The multiples of 2 are: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, and so on.
• The LCM of 11 and 2 is the smallest number that appears in both lists which is 22.

Method to Determine LCM

• To determine the LCM of two numbers, one method is to list out the multiples of each number until a common multiple is found.
• Alternatively, you can use the prime factorization method, where you find the prime factors of each number and multiply the highest powers of all the prime factors together.

Changing the LCM

• If we calculated the LCM of 11, 2, and 3, the LCM would change to 66.
• This is because 66 is the smallest number that is a multiple of 11, 2, and 3.
• The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, and so on.

LCM of 11 and 2

• The LCM of 11 and 2 is not always 22.
• If the numbers change, then their LCM will also change.
• For example, if we change 2 to 3, the LCM will be 33.