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LCM of 803, 806, 423, 517

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


Find the LCM of 803, 806, 423, 517 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, 806, 423, 517. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,806,423,517

Given numbers are 803,806,423,517

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

The LCM of 803,806,423,517 is 273773214.

Find LCM of 803,806,423,517 with Prime Factorization


11 803, 806, 423, 517
47 73, 806, 423, 47
73, 806, 9, 1

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

11 x 47 x 73 x 806 x 9 x 1 = 273773214

Therefore, the lowest common multiple of 803,806,423,517 is 273773214.

LCM Formula to Find Lowest Common Multiple of 803,806,423,517

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 806 x 423 x 517 = 141540751638

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

806 : 1, 2, 13, 26, 31, 62, 403, 806

423 : 1, 3, 9, 47, 141, 423

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,806,423,517, is 1.

Now, the common factors can be found like this.

803:11x 73

806:2x 13x 31

423:3x 3x 47

517:11x 47

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

11x 47 = 517

Therefore, the value for common factors is 517.

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 = 141540751638/(1x517)

LCM = 141540751638/517

LCM = 273773214

Thus, we can understand that the LCM of 803,806,423,517 is 273773214.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 806, 423, 517

1. What is the LCM of 803, 806, 423, 517?

Answer: LCM of 803, 806, 423, 517 is 273773214.

2. How to calculate the LCM of 803, 806, 423, 517?

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, 806, 423, 517.

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}.