Given numbers are 504,580,270,862,744

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

The LCM of 504,580,270,862,744 is 2929265640.

Find LCM of 504,580,270,862,744 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 5 x 7 x 29 x 3 x 431 x 31 = 2929265640

Therefore, the lowest common multiple of 504,580,270,862,744 is 2929265640.

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.

504 x 580 x 270 x 862 x 744 = 50617710259200

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.

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

862 : 1, 2, 431, 862

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 504,580,270,862,744, is 2.

Now, the common factors can be found like this.

504:2x 2x 2x 3x 3x 7

580:2x 2x 5x 29

270:2x 3x 3x 3x 5

862:2x 431

744:2x 2x 2x 3x 31

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 3x 3x 3x 5 = 8640

Therefore, the value for common factors is 8640.

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 = 50617710259200/(2x8640)

LCM = 50617710259200/17280

LCM = 2929265640

Thus, we can understand that the LCM of 504,580,270,862,744 is 2929265640.

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

• LCM of 611, 250, 569, 591, 699
• LCM of 400, 158, 682, 540, 926
• LCM of 729, 250, 215, 180, 767
• LCM of 482, 837, 115, 736, 652
• LCM of 196, 738, 544, 469, 522

1. What is the LCM of 504, 580, 270, 862, 744?

Answer: LCM of 504, 580, 270, 862, 744 is 2929265640.

2. How to calculate the LCM of 504, 580, 270, 862, 744?

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 504, 580, 270, 862, 744.

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}.