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LCM of 901, 845, 323, 801, 506

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


Find the LCM of 901, 845, 323, 801, 506 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 901, 845, 323, 801, 506. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 901,845,323,801,506

Given numbers are 901,845,323,801,506

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

The LCM of 901,845,323,801,506 is 5862976234830.

Find LCM of 901,845,323,801,506 with Prime Factorization


17 901, 845, 323, 801, 506
53, 845, 19, 801, 506

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

17 x 53 x 845 x 19 x 801 x 506 = 5862976234830

Therefore, the lowest common multiple of 901,845,323,801,506 is 5862976234830.

LCM Formula to Find Lowest Common Multiple of 901,845,323,801,506

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.

901 x 845 x 323 x 801 x 506 = 99670595992110

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.

901 : 1, 17, 53, 901

845 : 1, 5, 13, 65, 169, 845

323 : 1, 17, 19, 323

801 : 1, 3, 9, 89, 267, 801

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,845,323,801,506, is 1.

Now, the common factors can be found like this.

901:17x 53

845:5x 13x 13

323:17x 19

801:3x 3x 89

506:2x 11x 23

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

17 = 17

Therefore, the value for common factors is 17.

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 = 99670595992110/(1x17)

LCM = 99670595992110/17

LCM = 5862976234830

Thus, we can understand that the LCM of 901,845,323,801,506 is 5862976234830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 901, 845, 323, 801, 506

1. What is the LCM of 901, 845, 323, 801, 506?

Answer: LCM of 901, 845, 323, 801, 506 is 5862976234830.

2. How to calculate the LCM of 901, 845, 323, 801, 506?

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 901, 845, 323, 801, 506.

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}.