Given numbers are 585,605,919,430,971

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

The LCM of 585,605,919,430,971 is 5432183460990.

Find LCM of 585,605,919,430,971 with Prime Factorization

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

5 x 117 x 121 x 919 x 86 x 971 = 5432183460990

Therefore, the lowest common multiple of 585,605,919,430,971 is 5432183460990.

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.

585 x 605 x 919 x 430 x 971 = 135804586524750

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

605 : 1, 5, 11, 55, 121, 605

919 : 1, 919

430 : 1, 2, 5, 10, 43, 86, 215, 430

971 : 1, 971

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,605,919,430,971, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

605:5x 11x 11

919:919

430:2x 5x 43

971:971

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 5 = 25

Therefore, the value for common factors is 25.

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 = 135804586524750/(1x25)

LCM = 135804586524750/25

LCM = 5432183460990

Thus, we can understand that the LCM of 585,605,919,430,971 is 5432183460990.

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

• LCM of 856, 614, 784, 377, 246
• LCM of 203, 948, 126, 729, 157
• LCM of 350, 783, 413, 193, 597
• LCM of 959, 132, 662, 129, 739
• LCM of 285, 185, 560, 240, 300

1. What is the LCM of 585, 605, 919, 430, 971?

Answer: LCM of 585, 605, 919, 430, 971 is 5432183460990.

2. How to calculate the LCM of 585, 605, 919, 430, 971?

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 585, 605, 919, 430, 971.

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}.