Given numbers are 506,540,206,542,509

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

The LCM of 506,540,206,542,509 is 1941058296540.

Find LCM of 506,540,206,542,509 with Prime Factorization

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

2 x 253 x 270 x 103 x 271 x 509 = 1941058296540

Therefore, the lowest common multiple of 506,540,206,542,509 is 1941058296540.

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.

506 x 540 x 206 x 542 x 509 = 15528466372320

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.

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

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

206 : 1, 2, 103, 206

542 : 1, 2, 271, 542

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,540,206,542,509, is 1.

Now, the common factors can be found like this.

506:2x 11x 23

540:2x 2x 3x 3x 3x 5

206:2x 103

542:2x 271

509:509

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 2 = 8

Therefore, the value for common factors is 8.

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 = 15528466372320/(1x8)

LCM = 15528466372320/8

LCM = 1941058296540

Thus, we can understand that the LCM of 506,540,206,542,509 is 1941058296540.

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

• LCM of 430, 200, 679, 901, 105
• LCM of 690, 168, 612, 718, 455
• LCM of 522, 184, 848, 794, 126
• LCM of 273, 124, 214, 316, 509
• LCM of 795, 269, 786, 393, 233

1. What is the LCM of 506, 540, 206, 542, 509?

Answer: LCM of 506, 540, 206, 542, 509 is 1941058296540.

2. How to calculate the LCM of 506, 540, 206, 542, 509?

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 506, 540, 206, 542, 509.

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}.