Given numbers are 420,566,308,484,704

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

The LCM of 420,566,308,484,704 is 230112960.

Find LCM of 420,566,308,484,704 with Prime Factorization

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

2 x 2 x 7 x 11 x 15 x 283 x 1 x 11 x 16 = 230112960

Therefore, the lowest common multiple of 420,566,308,484,704 is 230112960.

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.

420 x 566 x 308 x 484 x 704 = 24947926671360

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.

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

566 : 1, 2, 283, 566

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,566,308,484,704, is 2.

Now, the common factors can be found like this.

420:2x 2x 3x 5x 7

566:2x 283

308:2x 2x 7x 11

484:2x 2x 11x 11

704:2x 2x 2x 2x 2x 2x 11

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 2x 2x 7x 11x 11 = 54208

Therefore, the value for common factors is 54208.

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 = 24947926671360/(2x54208)

LCM = 24947926671360/108416

LCM = 230112960

Thus, we can understand that the LCM of 420,566,308,484,704 is 230112960.

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

• LCM of 898, 346, 388, 944, 485
• LCM of 600, 892, 510, 410, 801
• LCM of 562, 240, 824, 644, 139
• LCM of 735, 823, 171, 501, 842
• LCM of 138, 387, 812, 125, 631

1. What is the LCM of 420, 566, 308, 484, 704?

Answer: LCM of 420, 566, 308, 484, 704 is 230112960.

2. How to calculate the LCM of 420, 566, 308, 484, 704?

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 420, 566, 308, 484, 704.

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}.