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LCM of 803, 319, 256, 525

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 803, 319, 256, 525 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 803, 319, 256, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,319,256,525

Given numbers are 803,319,256,525

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 803,319,256,525 is 3129772800.

Find LCM of 803,319,256,525 with Prime Factorization


11 803, 319, 256, 525
73, 29, 256, 525

Multiply the prime numbers at the bottom and the left side.

11 x 73 x 29 x 256 x 525 = 3129772800

Therefore, the lowest common multiple of 803,319,256,525 is 3129772800.

LCM Formula to Find Lowest Common Multiple of 803,319,256,525

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

803 x 319 x 256 x 525 = 34427500800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

803 : 1, 11, 73, 803

319 : 1, 11, 29, 319

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,319,256,525, is 1.

Now, the common factors can be found like this.

803:11x 73

319:11x 29

256:2x 2x 2x 2x 2x 2x 2x 2

525:3x 5x 5x 7

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

11 = 11

Therefore, the value for common factors is 11.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 34427500800/(1x11)

LCM = 34427500800/11

LCM = 3129772800

Thus, we can understand that the LCM of 803,319,256,525 is 3129772800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 319, 256, 525

1. What is the LCM of 803, 319, 256, 525?

Answer: LCM of 803, 319, 256, 525 is 3129772800.

2. How to calculate the LCM of 803, 319, 256, 525?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 803, 319, 256, 525.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.