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LCM of 820, 454, 104, 533

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


Find the LCM of 820, 454, 104, 533 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 820, 454, 104, 533. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 820,454,104,533

Given numbers are 820,454,104,533

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

The LCM of 820,454,104,533 is 4839640.

Find LCM of 820,454,104,533 with Prime Factorization


2 820, 454, 104, 533
2 410, 227, 52, 533
13 205, 227, 26, 533
41 205, 227, 2, 41
5, 227, 2, 1

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

2 x 2 x 13 x 41 x 5 x 227 x 2 x 1 = 4839640

Therefore, the lowest common multiple of 820,454,104,533 is 4839640.

LCM Formula to Find Lowest Common Multiple of 820,454,104,533

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.

820 x 454 x 104 x 533 = 20636224960

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.

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

454 : 1, 2, 227, 454

104 : 1, 2, 4, 8, 13, 26, 52, 104

533 : 1, 13, 41, 533

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,454,104,533, is 1.

Now, the common factors can be found like this.

820:2x 2x 5x 41

454:2x 227

104:2x 2x 2x 13

533:13x 41

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 13x 41 = 4264

Therefore, the value for common factors is 4264.

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 = 20636224960/(1x4264)

LCM = 20636224960/4264

LCM = 4839640

Thus, we can understand that the LCM of 820,454,104,533 is 4839640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 820, 454, 104, 533

1. What is the LCM of 820, 454, 104, 533?

Answer: LCM of 820, 454, 104, 533 is 4839640.

2. How to calculate the LCM of 820, 454, 104, 533?

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 820, 454, 104, 533.

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}.