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LCM of 801, 351, 555, 683, 536

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


Find the LCM of 801, 351, 555, 683, 536 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 801, 351, 555, 683, 536. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 801,351,555,683,536

Given numbers are 801,351,555,683,536

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

The LCM of 801,351,555,683,536 is 2115701260920.

Find LCM of 801,351,555,683,536 with Prime Factorization


3 801, 351, 555, 683, 536
3 267, 117, 185, 683, 536
89, 39, 185, 683, 536

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

3 x 3 x 89 x 39 x 185 x 683 x 536 = 2115701260920

Therefore, the lowest common multiple of 801,351,555,683,536 is 2115701260920.

LCM Formula to Find Lowest Common Multiple of 801,351,555,683,536

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.

801 x 351 x 555 x 683 x 536 = 57123934044840

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.

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

351 : 1, 3, 9, 13, 27, 39, 117, 351

555 : 1, 3, 5, 15, 37, 111, 185, 555

683 : 1, 683

536 : 1, 2, 4, 8, 67, 134, 268, 536

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 801,351,555,683,536, is 1.

Now, the common factors can be found like this.

801:3x 3x 89

351:3x 3x 3x 13

555:3x 5x 37

683:683

536:2x 2x 2x 67

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 57123934044840/(1x27)

LCM = 57123934044840/27

LCM = 2115701260920

Thus, we can understand that the LCM of 801,351,555,683,536 is 2115701260920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 801, 351, 555, 683, 536

1. What is the LCM of 801, 351, 555, 683, 536?

Answer: LCM of 801, 351, 555, 683, 536 is 2115701260920.

2. How to calculate the LCM of 801, 351, 555, 683, 536?

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 801, 351, 555, 683, 536.

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}.