Given numbers are 579,560,214,938

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

The LCM of 579,560,214,938 is 2324476560.

Find LCM of 579,560,214,938 with Prime Factorization

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

2 x 7 x 579 x 40 x 107 x 67 = 2324476560

Therefore, the lowest common multiple of 579,560,214,938 is 2324476560.

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.

579 x 560 x 214 x 938 = 65085343680

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.

579 : 1, 3, 193, 579

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

214 : 1, 2, 107, 214

938 : 1, 2, 7, 14, 67, 134, 469, 938

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,560,214,938, is 1.

Now, the common factors can be found like this.

579:3x 193

560:2x 2x 2x 2x 5x 7

214:2x 107

938:2x 7x 67

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 7 = 28

Therefore, the value for common factors is 28.

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 = 65085343680/(1x28)

LCM = 65085343680/28

LCM = 2324476560

Thus, we can understand that the LCM of 579,560,214,938 is 2324476560.

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

• LCM of 969, 356, 240, 564
• LCM of 722, 577, 500, 363
• LCM of 524, 560, 871, 630
• LCM of 724, 608, 901, 948
• LCM of 423, 297, 750, 831

1. What is the LCM of 579, 560, 214, 938?

Answer: LCM of 579, 560, 214, 938 is 2324476560.

2. How to calculate the LCM of 579, 560, 214, 938?

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 579, 560, 214, 938.

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}.