Given numbers are 508,722,750,486

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

The LCM of 508,722,750,486 is 5570410500.

Find LCM of 508,722,750,486 with Prime Factorization

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

2 x 3 x 254 x 361 x 125 x 81 = 5570410500

Therefore, the lowest common multiple of 508,722,750,486 is 5570410500.

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.

508 x 722 x 750 x 486 = 133689852000

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.

508 : 1, 2, 4, 127, 254, 508

722 : 1, 2, 19, 38, 361, 722

750 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,722,750,486, is 2.

Now, the common factors can be found like this.

508:2x 2x 127

722:2x 19x 19

750:2x 3x 5x 5x 5

486:2x 3x 3x 3x 3x 3

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 3 = 12

Therefore, the value for common factors is 12.

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 = 133689852000/(2x12)

LCM = 133689852000/24

LCM = 5570410500

Thus, we can understand that the LCM of 508,722,750,486 is 5570410500.

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

• LCM of 759, 332, 486, 844
• LCM of 339, 364, 512, 225
• LCM of 577, 585, 339, 236
• LCM of 984, 507, 572, 290
• LCM of 644, 508, 603, 833

1. What is the LCM of 508, 722, 750, 486?

Answer: LCM of 508, 722, 750, 486 is 5570410500.

2. How to calculate the LCM of 508, 722, 750, 486?

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 508, 722, 750, 486.

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}.