Given numbers are 556,505,418,214

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

The LCM of 556,505,418,214 is 6279083140.

Find LCM of 556,505,418,214 with Prime Factorization

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

2 x 278 x 505 x 209 x 107 = 6279083140

Therefore, the lowest common multiple of 556,505,418,214 is 6279083140.

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.

556 x 505 x 418 x 214 = 25116332560

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.

556 : 1, 2, 4, 139, 278, 556

505 : 1, 5, 101, 505

418 : 1, 2, 11, 19, 22, 38, 209, 418

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,505,418,214, is 1.

Now, the common factors can be found like this.

556:2x 2x 139

505:5x 101

418:2x 11x 19

214:2x 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 = 25116332560/(1x4)

LCM = 25116332560/4

LCM = 6279083140

Thus, we can understand that the LCM of 556,505,418,214 is 6279083140.

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

• LCM of 219, 736, 265, 853
• LCM of 197, 400, 133, 901
• LCM of 810, 924, 881, 535
• LCM of 731, 201, 640, 248
• LCM of 311, 949, 850, 928

1. What is the LCM of 556, 505, 418, 214?

Answer: LCM of 556, 505, 418, 214 is 6279083140.

2. How to calculate the LCM of 556, 505, 418, 214?

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 556, 505, 418, 214.

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}.