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LCM of 363, 814, 545, 637

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


Find the LCM of 363, 814, 545, 637 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 363, 814, 545, 637. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 363,814,545,637

Given numbers are 363,814,545,637

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

The LCM of 363,814,545,637 is 9325546230.

Find LCM of 363,814,545,637 with Prime Factorization


11 363, 814, 545, 637
33, 74, 545, 637

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

11 x 33 x 74 x 545 x 637 = 9325546230

Therefore, the lowest common multiple of 363,814,545,637 is 9325546230.

LCM Formula to Find Lowest Common Multiple of 363,814,545,637

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.

363 x 814 x 545 x 637 = 102581008530

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.

363 : 1, 3, 11, 33, 121, 363

814 : 1, 2, 11, 22, 37, 74, 407, 814

545 : 1, 5, 109, 545

637 : 1, 7, 13, 49, 91, 637

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,814,545,637, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

814:2x 11x 37

545:5x 109

637:7x 7x 13

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 = 102581008530/(1x11)

LCM = 102581008530/11

LCM = 9325546230

Thus, we can understand that the LCM of 363,814,545,637 is 9325546230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 363, 814, 545, 637

1. What is the LCM of 363, 814, 545, 637?

Answer: LCM of 363, 814, 545, 637 is 9325546230.

2. How to calculate the LCM of 363, 814, 545, 637?

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 363, 814, 545, 637.

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}.