Given numbers are 520,306,214,340,503

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

The LCM of 520,306,214,340,503 is 4281998760.

Find LCM of 520,306,214,340,503 with Prime Factorization

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

2 x 2 x 5 x 17 x 26 x 9 x 107 x 1 x 503 = 4281998760

Therefore, the lowest common multiple of 520,306,214,340,503 is 4281998760.

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.

520 x 306 x 214 x 340 x 503 = 5823518313600

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.

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

214 : 1, 2, 107, 214

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

503 : 1, 503

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 520,306,214,340,503, is 1.

Now, the common factors can be found like this.

520:2x 2x 2x 5x 13

306:2x 3x 3x 17

214:2x 107

340:2x 2x 5x 17

503:503

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 5x 17 = 1360

Therefore, the value for common factors is 1360.

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 = 5823518313600/(1x1360)

LCM = 5823518313600/1360

LCM = 4281998760

Thus, we can understand that the LCM of 520,306,214,340,503 is 4281998760.

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

• LCM of 315, 379, 524, 762, 318
• LCM of 424, 785, 444, 393, 442
• LCM of 228, 151, 278, 406, 124
• LCM of 832, 735, 510, 324, 667
• LCM of 366, 679, 644, 169, 801

1. What is the LCM of 520, 306, 214, 340, 503?

Answer: LCM of 520, 306, 214, 340, 503 is 4281998760.

2. How to calculate the LCM of 520, 306, 214, 340, 503?

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 520, 306, 214, 340, 503.

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}.