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LCM of 585, 526, 838, 842

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


Find the LCM of 585, 526, 838, 842 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 585, 526, 838, 842. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 585,526,838,842

Given numbers are 585,526,838,842

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

The LCM of 585,526,838,842 is 54279736290.

Find LCM of 585,526,838,842 with Prime Factorization


2 585, 526, 838, 842
585, 263, 419, 421

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

2 x 585 x 263 x 419 x 421 = 54279736290

Therefore, the lowest common multiple of 585,526,838,842 is 54279736290.

LCM Formula to Find Lowest Common Multiple of 585,526,838,842

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.

585 x 526 x 838 x 842 = 217118945160

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

526 : 1, 2, 263, 526

838 : 1, 2, 419, 838

842 : 1, 2, 421, 842

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,526,838,842, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

526:2x 263

838:2x 419

842:2x 421

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 217118945160/(1x4)

LCM = 217118945160/4

LCM = 54279736290

Thus, we can understand that the LCM of 585,526,838,842 is 54279736290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 585, 526, 838, 842

1. What is the LCM of 585, 526, 838, 842?

Answer: LCM of 585, 526, 838, 842 is 54279736290.

2. How to calculate the LCM of 585, 526, 838, 842?

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 585, 526, 838, 842.

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}.