Given numbers are 398,620,420,129,320

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

The LCM of 398,620,420,129,320 is 1782594240.

Find LCM of 398,620,420,129,320 with Prime Factorization

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

2 x 2 x 3 x 5 x 199 x 31 x 7 x 43 x 16 = 1782594240

Therefore, the lowest common multiple of 398,620,420,129,320 is 1782594240.

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.

398 x 620 x 420 x 129 x 320 = 4278226176000

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.

398 : 1, 2, 199, 398

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

129 : 1, 3, 43, 129

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,620,420,129,320, is 1.

Now, the common factors can be found like this.

398:2x 199

620:2x 2x 5x 31

420:2x 2x 3x 5x 7

129:3x 43

320:2x 2x 2x 2x 2x 2x 5

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 2x 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 4278226176000/(1x2400)

LCM = 4278226176000/2400

LCM = 1782594240

Thus, we can understand that the LCM of 398,620,420,129,320 is 1782594240.

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

• LCM of 200, 924, 934, 769, 948
• LCM of 837, 739, 660, 174, 154
• LCM of 786, 215, 696, 257, 927
• LCM of 450, 527, 479, 826, 895
• LCM of 718, 775, 913, 446, 714

1. What is the LCM of 398, 620, 420, 129, 320?

Answer: LCM of 398, 620, 420, 129, 320 is 1782594240.

2. How to calculate the LCM of 398, 620, 420, 129, 320?

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 398, 620, 420, 129, 320.

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}.