Question

What is the Lowest common multiple of 10500 and 38808

likes

438 views

Answer to a math question What is the Lowest common multiple of 10500 and 38808

$Expert avatar$

Velda

4.5

110 Answers

Step 1: Find the prime factorizations of the numbers:

- For 10500:

10500=2^2\cdot3^1\cdot5^3\cdot7^1

- For 38808:

38808=2^3\times3^2\times7^2\times11^1

Step 2: Determine the LCM by taking the highest power of each prime factor that appears in any of the factorizations:

- For prime 2: highest power is

2^3

- For prime 3: highest power is

3^4

- For prime 5: highest power is

5^4

- For prime 7: highest power is

- For prime 11: highest power is

Step 3: Multiply these together to get the LCM:

\text{LCM}=2^3\times3^2\times5^3\times7^2\times11^1

Step 4: Calculate the value:

2^3=8,\quad3^2=9,\quad5^3=125,\quad7^2=49,\quad11^1=11

\text{LCM}=8\times9\times125\times49\times11=4851000

Frequently asked questions (FAQs)

What is the simplified form of the mixed number 3 1/4, when factored as the product of its prime factors?

Question: In triangle ABC, angle bisector BD splits angle ABC into two equal angles. If angle ABD measures 30°, what's the measure of angle BAC?

What is the maximum/minimum value and location (x-coordinate) of the vertex of the parabola represented by the function y = ax^2?

New questions in Mathematics

Let 𝑢 = 𝑓(𝑥, 𝑦) = (𝑒^𝑥)𝑠𝑒𝑛(3𝑦). Check if 9((𝜕^2) u / 𝜕(𝑥^2)) +((𝜕^2) 𝑢 / 𝜕(𝑦^2)) = 0

Jose bought 3/4 of oil and his sister bought 6/8, which of the two bought more oil?

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

two particles start at the origin and move along the x axis. for 0 <= t <= 10, their respective position functions are given by x1 = cos(t) and x2 = (e^-3t) + 1. for how many values of t do the particles have the same velocity?

two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?

A, B, C and D are numbers; If ABCD = 23, What is the result of ABCD BCDA CDAB DABC operation?

4X^2 25

Determine the momentum of a 20 kg body traveling at 20 m/s.

A job takes 9 workers 92 hours to finish. How many hours would it take 5 workers to complete the same job?

How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?

The mean life of a television set is 119 months with a standard deviation of 13 months. If a sample of 67 televisions is randomly selected, what is the probability that the sample mean would be less than 121 months? Round your answer to four decimal places

∫ √9x + 1 dx

You mix a powder drug with a 4.5ml of liquid to get a reconstituted solution with a concentration of 250mg/ml. The prescribers order is for 500 mg . You will give what ml of the reconstituted solution

A triangular window has a base of 6 ft. and a height of 7 ft. What is its area?

User Before the election, a poll of 60 voters found the proportion who support the Green candidate to be 25%. Calculate the 90% confidence interval for the population parameter. (Give your answers as a PERCENTAGE rounded to TWO DECIMAL PLACES: exclude any trailing zeros and DO NOT INSERT THE % SIGN) Give the lower limit of the 90% confidence interval Give the upper limit of the 90% confidence interval

A stunt man jumps horizontally from a building to the roof of a garage that is 2 meters lower. How fast does he need to be to land on the roof of the said garage that is 3 meters away from the building?

If a two-branch parallel current divider network, if the resistance of one branch is doubled while keeping all other factors constant, what happens to the current flow through that branch and the other branch? Select one: a. The current through the doubled resistance branch remains unchanged, and the current through the other branch decreases. b. The current through the doubled resistance branch decreases, and the current through the other branch remains unchanged. c. The current through the doubled resistance branch increases, and the current through the other branch remains unchanged. d. The current through both branches remain unchanged.

Using the bank and exact method, calculate the interest on capital 10000 at 12% annual nominal interest rate for the period from 15.3. 2016 until 10/10/2016

Congratulations, you have saved well and are ready to begin your retirement. If you have $1,750,000.00 saved for your retirement and want it to last for 40 years, and will earn 10.8% compounded monthly: What is the amount of the monthly distribuion? 216.50 How much interest is earned in retirement?

The mass of 120 molecules of X2C4 is 9127.2 amu. Identify the unknown atom, X, by finding the atomic mass. The atomic mass of C is 12.01 amu/atom

What is the Lowest common multiple of 10500 and 38808

Answer to a math question What is the Lowest common multiple of 10500 and 38808

You might be interested in