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
Tems11 [23]
2 years ago
12

The least common multiple of 24, 28 and 45 is:

Mathematics
2 answers:
lisabon 2012 [21]2 years ago
7 0

Answer: 2520

Step-by-step explanation:

postnew [5]2 years ago
4 0

Answer:

B

Step-by-step explanation:

Find all prime factors

prime factors of 24 are 2, 2, 2 and 3.

The prime factors of 28 are 2, 2 and 7.

The prime factors of 45 are 3, 3 and 5.

Determine the maximum number of times each prime factor (2, 3, 5, 7) occurs in the factorization of the given numbers:

Prime factorNumber 24 28 45 Max. occurrence

2 3 2 0 3

3 1 0 2 2

5 0 0 1 1

7 0 1 0 1

The prime factors 5 and 7 occur one time, while 2 and 3 occur more than once.

The least common multiple is the product of all factors in the greatest number of their occurrence.

LCM = 2*2*2*3*3*5*7

LCM = 2^3*3^2*5*7

LCM = 2520

The least common multiple of 24, 28 and 45 is 2520.

You might be interested in
Hüseyin draws a fox with a scale of 3 units on his graph paper represents 15cm. The fox has an actual height of 80cm. What is th
Over [174]

Answer:

The height of the fox in Huseyin's drawing is, 16 units

Step-by-step explanation:

Proportion states that the two ratios or fractions are equal.

As per the statement: Huseyin draws a fox with a scale of 3 units on his graph paper represents 15 cm. The fox has an actual height of 80 cm.

⇒ We are given Scale of 3 units.

On graph paper the length of fox is 15 cm.

The fox has an actual height = 80 cm

let x be the height in units of the fox in Huseyin's drawing.

By definition of proportion;

\frac{3}{15} = \frac{x}{80}

by cross multiply we get;

3 \times 80 = 15x

Simplify:

240 = 15x

Divide both sides by 15 we get;

x = 16 units.

Therefore, the height of the fox in Huseyin's drawing is, 16 units


6 0
3 years ago
Read 2 more answers
Find the multiplicative inverse of 9/19
melisa1 [442]
The product of a number and its multiplicative inverse is 1.

\frac{9}{19} x=1
\\
\\9x=19
\\
\\x= \frac{19}{9}
7 0
3 years ago
Write the slope intercept form 2x-3y=9
Mariana [72]
2222437666aaaaaaaaaa
4 0
4 years ago
Read 2 more answers
The segment shown below could form a triangle 7 9 12
patriot [66]

picture attached, you do not have.

6 0
4 years ago
In ΔPQR, find the measure of ∡P. Hypotenuse is 57.6 and the opposite side is 33.8.
alekssr [168]

Step-by-step explanation:

pythogoras theorem = Q²=P²+R²

P=P

Q= 57.6

R=33.8 =

(57.8)²=(P)²+(33.8)²

=3,340.84=(P)²+1142.44

=3340.84-1142.44=P²

=2,198.4=P²

=   \sqrt{2198.4}  = p    \\  = 46.8 = p

5 0
2 years ago
Other questions:
  • I don’t understand what it is telling me to do
    12·1 answer
  • What is the length of side x in the triangle below?
    7·1 answer
  • Pleas help me with my question
    7·1 answer
  • Find the product. -2 xa (-4 xb - 2 x 3 + 5 x )
    8·1 answer
  • What is the probability of the complement of rolling a number less than 5 by using a six sided dye
    12·1 answer
  • What is 1/9 rounded to the nearest 1
    15·1 answer
  • Find the rational solution of x3 – 3x2 + x + 5 = 0. Show your use of the Rational Zero Theorem to receive credit!
    11·1 answer
  • Drag one or more expressions into each box to
    12·1 answer
  • A ship is 350 feet from lighthouse which is 40 feet tall, find the angle of depression from the top of the lighthouse to the shi
    15·2 answers
  • Find the slope of a line that has an equation of 13/4x+17/4y=-17
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!