Given numbers are 586,304,546,398

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

The LCM of 586,304,546,398 is 4839014544.

Find LCM of 586,304,546,398 with Prime Factorization

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

2 x 293 x 152 x 273 x 199 = 4839014544

Therefore, the lowest common multiple of 586,304,546,398 is 4839014544.

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.

586 x 304 x 546 x 398 = 38712116352

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.

586 : 1, 2, 293, 586

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,304,546,398, is 2.

Now, the common factors can be found like this.

586:2x 293

304:2x 2x 2x 2x 19

546:2x 3x 7x 13

398:2x 199

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 = 38712116352/(2x4)

LCM = 38712116352/8

LCM = 4839014544

Thus, we can understand that the LCM of 586,304,546,398 is 4839014544.

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

• LCM of 969, 836, 413, 336
• LCM of 424, 740, 922, 286
• LCM of 446, 724, 996, 815
• LCM of 769, 444, 286, 610
• LCM of 172, 153, 168, 110

1. What is the LCM of 586, 304, 546, 398?

Answer: LCM of 586, 304, 546, 398 is 4839014544.

2. How to calculate the LCM of 586, 304, 546, 398?

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 586, 304, 546, 398.

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}.