Given numbers are 530,343,338,428

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

The LCM of 530,343,338,428 is 6574617140.

Find LCM of 530,343,338,428 with Prime Factorization

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

2 x 265 x 343 x 169 x 214 = 6574617140

Therefore, the lowest common multiple of 530,343,338,428 is 6574617140.

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 343 x 338 x 428 = 26298468560

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

343 : 1, 7, 49, 343

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

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 530,343,338,428, is 1.

Now, the common factors can be found like this.

530:2x 5x 53

343:7x 7x 7

338:2x 13x 13

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 = 26298468560/(1x4)

LCM = 26298468560/4

LCM = 6574617140

Thus, we can understand that the LCM of 530,343,338,428 is 6574617140.

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

• LCM of 247, 234, 472, 655
• LCM of 426, 453, 864, 586
• LCM of 543, 519, 291, 329
• LCM of 548, 218, 915, 247
• LCM of 758, 779, 416, 180

1. What is the LCM of 530, 343, 338, 428?

Answer: LCM of 530, 343, 338, 428 is 6574617140.

2. How to calculate the LCM of 530, 343, 338, 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, 343, 338, 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}.