Given numbers are 505,520,900,702,491

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

The LCM of 505,520,900,702,491 is 3481288200.

Find LCM of 505,520,900,702,491 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 13 x 101 x 2 x 5 x 3 x 491 = 3481288200

Therefore, the lowest common multiple of 505,520,900,702,491 is 3481288200.

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.

505 x 520 x 900 x 702 x 491 = 81462143880000

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.

505 : 1, 5, 101, 505

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

491 : 1, 491

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 505,520,900,702,491, is 1.

Now, the common factors can be found like this.

505:5x 101

520:2x 2x 2x 5x 13

900:2x 2x 3x 3x 5x 5

702:2x 3x 3x 3x 13

491:491

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 3x 3x 5x 5x 13 = 23400

Therefore, the value for common factors is 23400.

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 = 81462143880000/(1x23400)

LCM = 81462143880000/23400

LCM = 3481288200

Thus, we can understand that the LCM of 505,520,900,702,491 is 3481288200.

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

• LCM of 768, 337, 181, 737, 884
• LCM of 940, 431, 511, 108, 115
• LCM of 822, 799, 465, 435, 779
• LCM of 208, 495, 632, 899, 429
• LCM of 800, 374, 833, 657, 989

1. What is the LCM of 505, 520, 900, 702, 491?

Answer: LCM of 505, 520, 900, 702, 491 is 3481288200.

2. How to calculate the LCM of 505, 520, 900, 702, 491?

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 505, 520, 900, 702, 491.

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}.