Given numbers are 398,432,622,214,630

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

The LCM of 398,432,622,214,630 is 100126499760.

Find LCM of 398,432,622,214,630 with Prime Factorization

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

2 x 3 x 3 x 199 x 24 x 311 x 107 x 35 = 100126499760

Therefore, the lowest common multiple of 398,432,622,214,630 is 100126499760.

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 432 x 622 x 214 x 630 = 14418215965440

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

432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

622 : 1, 2, 311, 622

214 : 1, 2, 107, 214

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,432,622,214,630, is 2.

Now, the common factors can be found like this.

398:2x 199

432:2x 2x 2x 2x 3x 3x 3

622:2x 311

214:2x 107

630:2x 3x 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 2x 2x 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 14418215965440/(2x72)

LCM = 14418215965440/144

LCM = 100126499760

Thus, we can understand that the LCM of 398,432,622,214,630 is 100126499760.

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

• LCM of 409, 383, 567, 121, 526
• LCM of 408, 257, 333, 731, 281
• LCM of 626, 625, 842, 941, 780
• LCM of 521, 720, 405, 837, 575
• LCM of 329, 565, 548, 508, 865

1. What is the LCM of 398, 432, 622, 214, 630?

Answer: LCM of 398, 432, 622, 214, 630 is 100126499760.

2. How to calculate the LCM of 398, 432, 622, 214, 630?

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, 432, 622, 214, 630.

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}.