Given numbers are 310,458,642,432

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

The LCM of 310,458,642,432 is 1640720880.

Find LCM of 310,458,642,432 with Prime Factorization

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

2 x 3 x 155 x 229 x 107 x 72 = 1640720880

Therefore, the lowest common multiple of 310,458,642,432 is 1640720880.

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.

310 x 458 x 642 x 432 = 39377301120

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.

310 : 1, 2, 5, 10, 31, 62, 155, 310

458 : 1, 2, 229, 458

642 : 1, 2, 3, 6, 107, 214, 321, 642

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,458,642,432, is 2.

Now, the common factors can be found like this.

310:2x 5x 31

458:2x 229

642:2x 3x 107

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

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 3 = 12

Therefore, the value for common factors is 12.

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 = 39377301120/(2x12)

LCM = 39377301120/24

LCM = 1640720880

Thus, we can understand that the LCM of 310,458,642,432 is 1640720880.

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

• LCM of 216, 880, 738, 359
• LCM of 731, 781, 326, 962
• LCM of 975, 236, 695, 789
• LCM of 800, 607, 733, 394
• LCM of 356, 530, 490, 350

1. What is the LCM of 310, 458, 642, 432?

Answer: LCM of 310, 458, 642, 432 is 1640720880.

2. How to calculate the LCM of 310, 458, 642, 432?

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 310, 458, 642, 432.

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}.