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LCM of 533, 363, 785, 693, 686

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


Find the LCM of 533, 363, 785, 693, 686 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 533, 363, 785, 693, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,363,785,693,686

Given numbers are 533,363,785,693,686

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

The LCM of 533,363,785,693,686 is 312571128870.

Find LCM of 533,363,785,693,686 with Prime Factorization


3 533, 363, 785, 693, 686
7 533, 121, 785, 231, 686
11 533, 121, 785, 33, 98
533, 11, 785, 3, 98

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

3 x 7 x 11 x 533 x 11 x 785 x 3 x 98 = 312571128870

Therefore, the lowest common multiple of 533,363,785,693,686 is 312571128870.

LCM Formula to Find Lowest Common Multiple of 533,363,785,693,686

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.

533 x 363 x 785 x 693 x 686 = 72203930768970

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.

533 : 1, 13, 41, 533

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

785 : 1, 5, 157, 785

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,363,785,693,686, is 1.

Now, the common factors can be found like this.

533:13x 41

363:3x 11x 11

785:5x 157

693:3x 3x 7x 11

686:2x 7x 7x 7

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

3x 7x 11 = 231

Therefore, the value for common factors is 231.

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 = 72203930768970/(1x231)

LCM = 72203930768970/231

LCM = 312571128870

Thus, we can understand that the LCM of 533,363,785,693,686 is 312571128870.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 363, 785, 693, 686

1. What is the LCM of 533, 363, 785, 693, 686?

Answer: LCM of 533, 363, 785, 693, 686 is 312571128870.

2. How to calculate the LCM of 533, 363, 785, 693, 686?

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 533, 363, 785, 693, 686.

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}.