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LCM of 534, 295, 126, 817, 413

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


Find the LCM of 534, 295, 126, 817, 413 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, 295, 126, 817, 413. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 534,295,126,817,413

Given numbers are 534,295,126,817,413

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

The LCM of 534,295,126,817,413 is 2702742210.

Find LCM of 534,295,126,817,413 with Prime Factorization


2 534, 295, 126, 817, 413
3 267, 295, 63, 817, 413
7 89, 295, 21, 817, 413
59 89, 295, 3, 817, 59
89, 5, 3, 817, 1

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

2 x 3 x 7 x 59 x 89 x 5 x 3 x 817 x 1 = 2702742210

Therefore, the lowest common multiple of 534,295,126,817,413 is 2702742210.

LCM Formula to Find Lowest Common Multiple of 534,295,126,817,413

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 295 x 126 x 817 x 413 = 6697395196380

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

295 : 1, 5, 59, 295

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

817 : 1, 19, 43, 817

413 : 1, 7, 59, 413

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 534,295,126,817,413, is 1.

Now, the common factors can be found like this.

534:2x 3x 89

295:5x 59

126:2x 3x 3x 7

817:19x 43

413:7x 59

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

2x 3x 7x 59 = 2478

Therefore, the value for common factors is 2478.

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 = 6697395196380/(1x2478)

LCM = 6697395196380/2478

LCM = 2702742210

Thus, we can understand that the LCM of 534,295,126,817,413 is 2702742210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 534, 295, 126, 817, 413

1. What is the LCM of 534, 295, 126, 817, 413?

Answer: LCM of 534, 295, 126, 817, 413 is 2702742210.

2. How to calculate the LCM of 534, 295, 126, 817, 413?

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, 295, 126, 817, 413.

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}.