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LCM of 533, 207, 648, 696, 804

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


Find the LCM of 533, 207, 648, 696, 804 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, 207, 648, 696, 804. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,207,648,696,804

Given numbers are 533,207,648,696,804

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

The LCM of 533,207,648,696,804 is 15434865576.

Find LCM of 533,207,648,696,804 with Prime Factorization


2 533, 207, 648, 696, 804
2 533, 207, 324, 348, 402
2 533, 207, 162, 174, 201
3 533, 207, 81, 87, 201
3 533, 69, 27, 29, 67
533, 23, 9, 29, 67

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

2 x 2 x 2 x 3 x 3 x 533 x 23 x 9 x 29 x 67 = 15434865576

Therefore, the lowest common multiple of 533,207,648,696,804 is 15434865576.

LCM Formula to Find Lowest Common Multiple of 533,207,648,696,804

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 207 x 648 x 696 x 804 = 40007171572992

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

207 : 1, 3, 9, 23, 69, 207

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,207,648,696,804, is 1.

Now, the common factors can be found like this.

533:13x 41

207:3x 3x 23

648:2x 2x 2x 3x 3x 3x 3

696:2x 2x 2x 3x 29

804:2x 2x 3x 67

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

2x 2x 2x 2x 2x 3x 3x 3x 3 = 2592

Therefore, the value for common factors is 2592.

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 = 40007171572992/(1x2592)

LCM = 40007171572992/2592

LCM = 15434865576

Thus, we can understand that the LCM of 533,207,648,696,804 is 15434865576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 207, 648, 696, 804

1. What is the LCM of 533, 207, 648, 696, 804?

Answer: LCM of 533, 207, 648, 696, 804 is 15434865576.

2. How to calculate the LCM of 533, 207, 648, 696, 804?

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, 207, 648, 696, 804.

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}.