1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Vaselesa [24]
3 years ago
14

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

Mathematics
1 answer:
Monica [59]3 years ago
5 0

Answer:

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

<em>The least common multiple of the 1st 4 positive integers is 12</em>

You might be interested in
2x + y = 7<br> -2x - y = 6<br> Solve systems of equations by substitution
ehidna [41]

Answer:

No solution.

Step-by-step explanation:

2x + y = 7

-2x - y = 6

From the first equation:

y = 7 - 2x

Plug this into the second equation:

-2x - (7 - 2x) = 6

-2x  + 2x = 6 + 7

0 = 13

this doesn't make sense so theer is:

No solution.

4 0
2 years ago
Find the equation of the line parallel to -5x+2y=12 and through (10,21)
Ksivusya [100]

y=5/2x-4

Step-by-step explanation:

im pretty sure

8 0
3 years ago
Read 2 more answers
At what rate per annum ci will RS 2000 amount to RS 2315.35 in 3 years
Mashutka [201]

<u>ANSWER: </u>

Rate per annum at which CI will amount from RS 2000 to RS 2315.35 in 3 years is 5%

<u>SOLUTION: </u>

Given,  

P = RS 2000

C.I = RS 2315.35

T = 3 years

We need to find the rate per annum. i.e. R = ?

We know that,  

When interest is compound Annually:

Amount $=\mathrm{P}\left(1+\frac{\mathrm{R}}{100}\right)^{n}$

Where p = principal amount

r = rate of interest

n = number of years

$2315.35=2000 \times\left(1+\frac{R}{100}\right)^{3}$

$\left(1+\frac{R}{100}\right)^{3}=\frac{2315.35}{2000}$

$\left(1+\frac{R}{100}\right)^{3}=1.157$

$1+\frac{R}{100}=\sqrt[3]{1.157}$

$1+\frac{R}{100}=1.0500$

$\frac{R}{100}=1.05-1$

$\frac{R}{100}=0.05$

R = 5%

Hence, rate per annum is 5 percent.

3 0
3 years ago
There are 11 books on a shelf. 4 of the books are new. The rest of them are used What is the ratio
wariber [46]

Answer:

I <em>believe </em>it would be 4:7 books (the 4 new ones : the 7 older books).

Hope this helps!

8 0
3 years ago
A wall clock is generally a more precise tool for measuring a length of time than a stopwatch.
Sergio039 [100]

Answer:

False

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Solve for x in terms of p and a 2x+a=p
    7·2 answers
  • Cot ø undefined for ø
    6·1 answer
  • Is 2 hours and 30 minutes more or less than 10% of a day?
    15·1 answer
  • A candle maker plans to make 30 orange candles. She mixes wax to create a specific shade of orange. The ratio of each color in h
    15·1 answer
  • Which table corresponds to the function y = -3x + 11?
    13·1 answer
  • Let ƒ(x) = 5x2 – x + 1 and g(x) = –3x. Evaluate the composition (ƒ ∘ g)(1) .
    12·2 answers
  • Please answer please!! Please answer 1–4 please actually answer please I need thissss
    15·1 answer
  • A<br> 100 cm²<br> b<br> 9 cm²<br> c<br> 225 cm²<br> d<br> 28.26 cm²
    12·1 answer
  • Samantha has 52 jelly beans. She decides that she will eat 4 jelly beans per minute, and she wants to create an expression that
    5·1 answer
  • 5m -3m + 4 (m + 2) answer
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!