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LCM of 534, 534, 395, 828

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


Find the LCM of 534, 534, 395, 828 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 534, 534, 395, 828. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,534,395,828

Given numbers are 534,534,395,828

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

The LCM of 534,534,395,828 is 29108340.

Find LCM of 534,534,395,828 with Prime Factorization


2 534, 534, 395, 828
3 267, 267, 395, 414
89 89, 89, 395, 138
1, 1, 395, 138

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

2 x 3 x 89 x 1 x 1 x 395 x 138 = 29108340

Therefore, the lowest common multiple of 534,534,395,828 is 29108340.

LCM Formula to Find Lowest Common Multiple of 534,534,395,828

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.

534 x 534 x 395 x 828 = 93263121360

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.

534 : 1, 2, 3, 6, 89, 178, 267, 534

534 : 1, 2, 3, 6, 89, 178, 267, 534

395 : 1, 5, 79, 395

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,534,395,828, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

534:2x 3x 89

395:5x 79

828:2x 2x 3x 3x 23

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 3x 3x 89 = 3204

Therefore, the value for common factors is 3204.

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 = 93263121360/(1x3204)

LCM = 93263121360/3204

LCM = 29108340

Thus, we can understand that the LCM of 534,534,395,828 is 29108340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 534, 395, 828

1. What is the LCM of 534, 534, 395, 828?

Answer: LCM of 534, 534, 395, 828 is 29108340.

2. How to calculate the LCM of 534, 534, 395, 828?

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 534, 534, 395, 828.

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}.