Given numbers are 338,679,476,553,105

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

The LCM of 338,679,476,553,105 is 9246635580.

Find LCM of 338,679,476,553,105 with Prime Factorization

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

2 x 7 x 169 x 97 x 34 x 79 x 15 = 9246635580

Therefore, the lowest common multiple of 338,679,476,553,105 is 9246635580.

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.

338 x 679 x 476 x 553 x 105 = 6343192007880

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.

338 : 1, 2, 13, 26, 169, 338

679 : 1, 7, 97, 679

476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

553 : 1, 7, 79, 553

105 : 1, 3, 5, 7, 15, 21, 35, 105

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,679,476,553,105, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

679:7x 97

476:2x 2x 7x 17

553:7x 79

105:3x 5x 7

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

2x 7x 7x 7 = 686

Therefore, the value for common factors is 686.

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 = 6343192007880/(1x686)

LCM = 6343192007880/686

LCM = 9246635580

Thus, we can understand that the LCM of 338,679,476,553,105 is 9246635580.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 664, 204, 222, 714, 416
• LCM of 954, 219, 154, 568, 885
• LCM of 140, 459, 872, 978, 565
• LCM of 879, 938, 670, 797, 838
• LCM of 529, 740, 783, 666, 293

1. What is the LCM of 338, 679, 476, 553, 105?

Answer: LCM of 338, 679, 476, 553, 105 is 9246635580.

2. How to calculate the LCM of 338, 679, 476, 553, 105?

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 338, 679, 476, 553, 105.

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}.