Given numbers are 398,924,252,320

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

The LCM of 398,924,252,320 is 44130240.

Find LCM of 398,924,252,320 with Prime Factorization

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

2 x 2 x 3 x 7 x 199 x 11 x 3 x 80 = 44130240

Therefore, the lowest common multiple of 398,924,252,320 is 44130240.

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 924 x 252 x 320 = 29655521280

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

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,924,252,320, is 2.

Now, the common factors can be found like this.

398:2x 199

924:2x 2x 3x 7x 11

252:2x 2x 3x 3x 7

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 3x 7 = 336

Therefore, the value for common factors is 336.

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 = 29655521280/(2x336)

LCM = 29655521280/672

LCM = 44130240

Thus, we can understand that the LCM of 398,924,252,320 is 44130240.

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

• LCM of 953, 227, 258, 518
• LCM of 238, 608, 355, 886
• LCM of 916, 839, 962, 664
• LCM of 943, 610, 827, 805
• LCM of 214, 547, 573, 920

1. What is the LCM of 398, 924, 252, 320?

Answer: LCM of 398, 924, 252, 320 is 44130240.

2. How to calculate the LCM of 398, 924, 252, 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, 924, 252, 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}.