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LCM of 803, 507, 781, 403

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


Find the LCM of 803, 507, 781, 403 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, 507, 781, 403. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 803,507,781,403

Given numbers are 803,507,781,403

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

The LCM of 803,507,781,403 is 896073321.

Find LCM of 803,507,781,403 with Prime Factorization


11 803, 507, 781, 403
13 73, 507, 71, 403
73, 39, 71, 31

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

11 x 13 x 73 x 39 x 71 x 31 = 896073321

Therefore, the lowest common multiple of 803,507,781,403 is 896073321.

LCM Formula to Find Lowest Common Multiple of 803,507,781,403

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 507 x 781 x 403 = 128138484903

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

507 : 1, 3, 13, 39, 169, 507

781 : 1, 11, 71, 781

403 : 1, 13, 31, 403

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 803,507,781,403, is 1.

Now, the common factors can be found like this.

803:11x 73

507:3x 13x 13

781:11x 71

403:13x 31

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

11x 13 = 143

Therefore, the value for common factors is 143.

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 = 128138484903/(1x143)

LCM = 128138484903/143

LCM = 896073321

Thus, we can understand that the LCM of 803,507,781,403 is 896073321.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 803, 507, 781, 403

1. What is the LCM of 803, 507, 781, 403?

Answer: LCM of 803, 507, 781, 403 is 896073321.

2. How to calculate the LCM of 803, 507, 781, 403?

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, 507, 781, 403.

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}.