Given numbers are 398,445,753,312

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

The LCM of 398,445,753,312 is 6934919160.

Find LCM of 398,445,753,312 with Prime Factorization

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

2 x 3 x 199 x 445 x 251 x 52 = 6934919160

Therefore, the lowest common multiple of 398,445,753,312 is 6934919160.

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 445 x 753 x 312 = 41609514960

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

445 : 1, 5, 89, 445

753 : 1, 3, 251, 753

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,445,753,312, is 1.

Now, the common factors can be found like this.

398:2x 199

445:5x 89

753:3x 251

312:2x 2x 2x 3x 13

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 41609514960/(1x6)

LCM = 41609514960/6

LCM = 6934919160

Thus, we can understand that the LCM of 398,445,753,312 is 6934919160.

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

• LCM of 299, 635, 441, 996
• LCM of 261, 259, 709, 131
• LCM of 176, 346, 113, 420
• LCM of 496, 143, 258, 618
• LCM of 584, 309, 173, 758

1. What is the LCM of 398, 445, 753, 312?

Answer: LCM of 398, 445, 753, 312 is 6934919160.

2. How to calculate the LCM of 398, 445, 753, 312?

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, 445, 753, 312.

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}.