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LCM of 814, 336, 444, 426

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


Find the LCM of 814, 336, 444, 426 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 814, 336, 444, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 814,336,444,426

Given numbers are 814,336,444,426

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

The LCM of 814,336,444,426 is 9709392.

Find LCM of 814,336,444,426 with Prime Factorization


2 814, 336, 444, 426
2 407, 168, 222, 213
3 407, 84, 111, 213
37 407, 28, 37, 71
11, 28, 1, 71

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

2 x 2 x 3 x 37 x 11 x 28 x 1 x 71 = 9709392

Therefore, the lowest common multiple of 814,336,444,426 is 9709392.

LCM Formula to Find Lowest Common Multiple of 814,336,444,426

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.

814 x 336 x 444 x 426 = 51731640576

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

426 : 1, 2, 3, 6, 71, 142, 213, 426

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,336,444,426, is 2.

Now, the common factors can be found like this.

814:2x 11x 37

336:2x 2x 2x 2x 3x 7

444:2x 2x 3x 37

426:2x 3x 71

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 3x 3x 37 = 2664

Therefore, the value for common factors is 2664.

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 = 51731640576/(2x2664)

LCM = 51731640576/5328

LCM = 9709392

Thus, we can understand that the LCM of 814,336,444,426 is 9709392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 814, 336, 444, 426

1. What is the LCM of 814, 336, 444, 426?

Answer: LCM of 814, 336, 444, 426 is 9709392.

2. How to calculate the LCM of 814, 336, 444, 426?

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 814, 336, 444, 426.

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}.