Given numbers are 338,330,589,428

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

The LCM of 338,330,589,428 is 7029585420.

Find LCM of 338,330,589,428 with Prime Factorization

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

2 x 169 x 165 x 589 x 214 = 7029585420

Therefore, the lowest common multiple of 338,330,589,428 is 7029585420.

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.

338 x 330 x 589 x 428 = 28118341680

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.

338 : 1, 2, 13, 26, 169, 338

330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

589 : 1, 19, 31, 589

428 : 1, 2, 4, 107, 214, 428

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,330,589,428, is 1.

Now, the common factors can be found like this.

338:2x 13x 13

330:2x 3x 5x 11

589:19x 31

428:2x 2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 28118341680/(1x4)

LCM = 28118341680/4

LCM = 7029585420

Thus, we can understand that the LCM of 338,330,589,428 is 7029585420.

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

• LCM of 592, 881, 988, 564
• LCM of 133, 351, 605, 523
• LCM of 930, 471, 444, 856
• LCM of 682, 160, 877, 539
• LCM of 581, 758, 827, 114

1. What is the LCM of 338, 330, 589, 428?

Answer: LCM of 338, 330, 589, 428 is 7029585420.

2. How to calculate the LCM of 338, 330, 589, 428?

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 338, 330, 589, 428.

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}.