Question

Find the first three common multiples of 6 and 8.

Answer 1

Hint: For this question we need to write the multiples for both the given numbers and then check which numbers are common to both of them, this gives the common multiples.

Complete step-by-step answer:
Let us first look into the definitions:
NUMBER- A number tells us how many times a unit is contained in a given quantity.
FACTOR- A number which can divide a given number exactly is called a factor of that number.
MULTIPLE- A number which is divisible by a given number is called multiple of that number.
COMMON MULTIPLE- A common multiple is a whole number that is a shared multiple of each set of numbers. The numbers that are common to two or more numbers are called the common multiples of those numbers.
Now we can find the common multiples of the given numbers by listing the multiples of each number and then finding their common multiples.
Here let us write the first twelve multiples of 6.
Multiples of 6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72.
Then let us write the first twelve multiples of 8.
Multiples of 8 = 8, 16, 24, 32, 40, 48, 56, 64, 72, 80, 88, 96.
We can have many multiples that can be common to both the given numbers but in the question we were asked only about first three multiples,
Here the first three multiples which are common to 6 and 8 are:
Hence, the first three Common multiples of 6 and 8 = 24, 48, 72.
Here 24 is called the least common multiple of 6 and 8 as it is the least number which is divisible by both 6 and 8.
Note- It is necessary to write the required number of multiples according to the question asked in order to find the common multiples.
For example here we wrote twelve multiples as we are asked to find the first three common multiples. But, if we were asked for more common multiples then we need to write more numbers of multiples accordingly.
The multiples should be written accurately without any mistake when we are supposed to calculate the common multiples because it changes the final answer. You should be thorough with the multiplication and tables.