Given numbers are 586,975,421,566,418

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

The LCM of 586,975,421,566,418 is 14227121787450.

Find LCM of 586,975,421,566,418 with Prime Factorization

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

2 x 293 x 975 x 421 x 283 x 209 = 14227121787450

Therefore, the lowest common multiple of 586,975,421,566,418 is 14227121787450.

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 975 x 421 x 566 x 418 = 56908487149800

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

975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

421 : 1, 421

566 : 1, 2, 283, 566

418 : 1, 2, 11, 19, 22, 38, 209, 418

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,975,421,566,418, is 1.

Now, the common factors can be found like this.

586:2x 293

975:3x 5x 5x 13

421:421

566:2x 283

418:2x 11x 19

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 = 56908487149800/(1x4)

LCM = 56908487149800/4

LCM = 14227121787450

Thus, we can understand that the LCM of 586,975,421,566,418 is 14227121787450.

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

• LCM of 973, 420, 984, 332, 560
• LCM of 988, 138, 883, 967, 276
• LCM of 340, 835, 521, 783, 974
• LCM of 958, 729, 301, 186, 266
• LCM of 819, 250, 449, 599, 607

1. What is the LCM of 586, 975, 421, 566, 418?

Answer: LCM of 586, 975, 421, 566, 418 is 14227121787450.

2. How to calculate the LCM of 586, 975, 421, 566, 418?

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, 975, 421, 566, 418.

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}.