Given numbers are 214,820,303,572,506

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

The LCM of 214,820,303,572,506 is 87438788580.

Find LCM of 214,820,303,572,506 with Prime Factorization

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

2 x 2 x 11 x 107 x 205 x 303 x 13 x 23 = 87438788580

Therefore, the lowest common multiple of 214,820,303,572,506 is 87438788580.

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.

214 x 820 x 303 x 572 x 506 = 15389226790080

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.

214 : 1, 2, 107, 214

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

303 : 1, 3, 101, 303

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

506 : 1, 2, 11, 22, 23, 46, 253, 506

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,820,303,572,506, is 1.

Now, the common factors can be found like this.

214:2x 107

820:2x 2x 5x 41

303:3x 101

572:2x 2x 11x 13

506:2x 11x 23

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 2x 2x 11 = 176

Therefore, the value for common factors is 176.

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 = 15389226790080/(1x176)

LCM = 15389226790080/176

LCM = 87438788580

Thus, we can understand that the LCM of 214,820,303,572,506 is 87438788580.

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

• LCM of 263, 103, 137, 389, 522
• LCM of 975, 680, 130, 726, 682
• LCM of 215, 812, 393, 713, 133
• LCM of 123, 875, 807, 343, 872
• LCM of 407, 940, 531, 499, 572

1. What is the LCM of 214, 820, 303, 572, 506?

Answer: LCM of 214, 820, 303, 572, 506 is 87438788580.

2. How to calculate the LCM of 214, 820, 303, 572, 506?

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 214, 820, 303, 572, 506.

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}.