Given numbers are 587,720,809,770,271

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

The LCM of 587,720,809,770,271 is 7134756163920.

Find LCM of 587,720,809,770,271 with Prime Factorization

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

2 x 5 x 587 x 72 x 809 x 77 x 271 = 7134756163920

Therefore, the lowest common multiple of 587,720,809,770,271 is 7134756163920.

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.

587 x 720 x 809 x 770 x 271 = 71347561639200

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.

587 : 1, 587

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

809 : 1, 809

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

271 : 1, 271

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 587,720,809,770,271, is 1.

Now, the common factors can be found like this.

587:587

720:2x 2x 2x 2x 3x 3x 5

809:809

770:2x 5x 7x 11

271:271

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 71347561639200/(1x10)

LCM = 71347561639200/10

LCM = 7134756163920

Thus, we can understand that the LCM of 587,720,809,770,271 is 7134756163920.

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

• LCM of 945, 428, 562, 813, 933
• LCM of 872, 118, 834, 466, 355
• LCM of 108, 692, 331, 603, 895
• LCM of 410, 173, 919, 853, 714
• LCM of 518, 837, 547, 326, 155

1. What is the LCM of 587, 720, 809, 770, 271?

Answer: LCM of 587, 720, 809, 770, 271 is 7134756163920.

2. How to calculate the LCM of 587, 720, 809, 770, 271?

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 587, 720, 809, 770, 271.

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}.