What is the least common multiple of the first 4 positive integers

The least common multiple of the 1st 4 positive integers is 12

Step-by-step explanation:

- Lets explain the meaning of the least common multiple

* The multiples of a number are the numbers formed by multiplying the

  number by another integers

- Ex: 2 , 4 , 6  are multiples of 2 because 2×1 = 2 , 2×2=4 ,

  2×3 = 6

* Least common multiple (L.C.M) of a set of numbers is the

  smallest number divisible by all of the numbers in the set

* To find the L.C.M of a set of numbers we look for the multiples of the

   greatest number and check them with the other numbers if they are

   divisible by the other numbers in the set, and choose the 1st one that

   divisible by all the numbers in the set

- Ex: 24 is the L.C.M of 6 , 8 , 12  because

→ The multiples of 12 are 12 , 24 , 36 , and 12 is the 1st number

   divisible by the 3 numbers

- Lets solve the problem

* The first four positive integers are 1 , 2 , 3 , 4

→ The greatest one is 4

→ The multiples of 4 are ⇒ 4 , 8 , 12 , 16 ,

→ 4 not divisible by 3 then it is not a common multiple of them

→ 8 not divisible by 3 hen it is not a common multiple of them

→ 12 is a common multiple of 1 , 2 , 3 , 4 because it is divisible by all of

   them

The least common multiple of the 1st 4 positive integers is 12

45 minutes

step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.