Question 1

Find the LCM.
-6 and 15

Accepted Answer

The least common multiple (LCM) of 6 and 15 is 30. This is because 30 is the smallest number that both 6 and 15 can divide into without leaving a remainder.

Question 2

Find the LCM.
-14 and 21

Accepted Answer

The LCM of 14 and 21 is 42, because 42 is the smallest number that both 14 and 21 can divide into without leaving a remainder.

Question 3

Find the LCM.
-6 and 48

Accepted Answer

The least common multiple (LCM) of 6 and 48 is 48 because 48 is the smallest number that both 6 and 48 can divide into without leaving a remainder.

Question 4

Find the LCM.
-84 and 42

Accepted Answer

The LCM of 84 and 42 is 84, since 84 is the smallest number that both 84 and 42 can divide into without leaving a remainder.

Question 5

Find the LCM.
-2, 6, and 10

Accepted Answer

The answer of Find the LCM.
-2, 6, and 10
...

Question 6

Find the LCM.
-4,16 , and 20

Accepted Answer

The LCM of 4, 16, and 20 is 80, as it is the smallest number that all three numbers divide into without a remainder.

Question 7

Solve the problem.
-The government holds a presidential election in every year that is a multiple of 4 . Was there an election in 1920? Explain.

Accepted Answer

there was an election in 1920, because 1920 is a multiple of 4 .

Question 8

Solve the problem.
-The government holds a presidential election in every year that is a multiple of 4 . Was there an election in 1937? Explain.

Accepted Answer

there was not an election in 1937, because 1937 is not a multiple of 4 .

Question 9

Solve the problem.
-What are the dimensions of the smallest square that you can make using 21 -in. by 28 -in. rectangular tiles?

Accepted Answer

The smallest square that can be made using 21-inch by 28-inch rectangular tiles requires finding the least common multiple (LCM) of the tile dimensions. The LCM of 21 and 28 is 84, so the dimensions of the smallest square are 84 inches by 84 inches.

Question 10

Solve the problem.
-A choreographer of a musical wants to hire enough dancers so that he can arrange them in groups of exactly 3,4 , and 6 with no dancers left out. What is the least number of dancers he can hire?

Accepted Answer

The answer of Solve the problem.
-A choreographer of a musical...

Question 11

Solve the problem.
-The manager at a local pizza place wants to cut and package pepperoni slices. Each medium pizza has 5 slices of pepperoni and each large pizza takes 8 slices of pepperoni. What is the smallest number of slices in each package so there will be none left when making any combination of large or medium pizzas.

Accepted Answer

The answer of Solve the problem.
-The manager at a local...

Question 12

Solve the problem.
-A mutual fund is made up of growth stocks and bonds, and the manager has determined that for every 9 growth stocks it has in this fund that it must also have 4 bonds. In total, what is the smallest number of bonds and growth stocks combined that this fund could have?

Accepted Answer

The answer of Solve the problem.
-A mutual fund is made...

Question 13

Solve the problem.
-A record producer decided to have a special promotion at a local concert. Every sixth person through the gate was to receive a free compact disc. If you were person number 600 through the gate, would you get a free CD? Explain.

Accepted Answer

because 600 is a multiple of six.

Question 14