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LCM of 362, 826, 901, 857

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


Find the LCM of 362, 826, 901, 857 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 362, 826, 901, 857. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 362,826,901,857

Given numbers are 362,826,901,857

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

The LCM of 362,826,901,857 is 115442104442.

Find LCM of 362,826,901,857 with Prime Factorization


2 362, 826, 901, 857
181, 413, 901, 857

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

2 x 181 x 413 x 901 x 857 = 115442104442

Therefore, the lowest common multiple of 362,826,901,857 is 115442104442.

LCM Formula to Find Lowest Common Multiple of 362,826,901,857

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.

362 x 826 x 901 x 857 = 230884208884

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.

362 : 1, 2, 181, 362

826 : 1, 2, 7, 14, 59, 118, 413, 826

901 : 1, 17, 53, 901

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,826,901,857, is 1.

Now, the common factors can be found like this.

362:2x 181

826:2x 7x 59

901:17x 53

857:857

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

2 = 2

Therefore, the value for common factors is 2.

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 = 230884208884/(1x2)

LCM = 230884208884/2

LCM = 115442104442

Thus, we can understand that the LCM of 362,826,901,857 is 115442104442.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 362, 826, 901, 857

1. What is the LCM of 362, 826, 901, 857?

Answer: LCM of 362, 826, 901, 857 is 115442104442.

2. How to calculate the LCM of 362, 826, 901, 857?

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 362, 826, 901, 857.

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}.