Given numbers are 340,449,814,698

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

The LCM of 340,449,814,698 is 21684284380.

Find LCM of 340,449,814,698 with Prime Factorization

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

2 x 170 x 449 x 407 x 349 = 21684284380

Therefore, the lowest common multiple of 340,449,814,698 is 21684284380.

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.

340 x 449 x 814 x 698 = 86737137520

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.

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

449 : 1, 449

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

698 : 1, 2, 349, 698

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 340,449,814,698, is 1.

Now, the common factors can be found like this.

340:2x 2x 5x 17

449:449

814:2x 11x 37

698:2x 349

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 = 86737137520/(1x4)

LCM = 86737137520/4

LCM = 21684284380

Thus, we can understand that the LCM of 340,449,814,698 is 21684284380.

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

• LCM of 849, 923, 123, 213
• LCM of 915, 349, 766, 940
• LCM of 260, 126, 619, 747
• LCM of 165, 323, 775, 861
• LCM of 956, 683, 537, 570

1. What is the LCM of 340, 449, 814, 698?

Answer: LCM of 340, 449, 814, 698 is 21684284380.

2. How to calculate the LCM of 340, 449, 814, 698?

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 340, 449, 814, 698.

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}.