Given numbers are 530,414,344,428

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

The LCM of 530,414,344,428 is 2019102840.

Find LCM of 530,414,344,428 with Prime Factorization

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

2 x 2 x 265 x 207 x 86 x 107 = 2019102840

Therefore, the lowest common multiple of 530,414,344,428 is 2019102840.

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.

530 x 414 x 344 x 428 = 32305645440

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.

530 : 1, 2, 5, 10, 53, 106, 265, 530

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

344 : 1, 2, 4, 8, 43, 86, 172, 344

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 530,414,344,428, is 2.

Now, the common factors can be found like this.

530:2x 5x 53

414:2x 3x 3x 23

344:2x 2x 2x 43

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 2x 2 = 8

Therefore, the value for common factors is 8.

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 = 32305645440/(2x8)

LCM = 32305645440/16

LCM = 2019102840

Thus, we can understand that the LCM of 530,414,344,428 is 2019102840.

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

• LCM of 366, 868, 583, 949
• LCM of 689, 304, 936, 370
• LCM of 731, 306, 715, 725
• LCM of 418, 127, 675, 309
• LCM of 810, 487, 461, 317

1. What is the LCM of 530, 414, 344, 428?

Answer: LCM of 530, 414, 344, 428 is 2019102840.

2. How to calculate the LCM of 530, 414, 344, 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 530, 414, 344, 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}.