Given numbers are 250,928,900,363,424

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

The LCM of 250,928,900,363,424 is 6695172000.

Find LCM of 250,928,900,363,424 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 5 x 116 x 3 x 121 x 53 = 6695172000

Therefore, the lowest common multiple of 250,928,900,363,424 is 6695172000.

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.

250 x 928 x 900 x 363 x 424 = 32136825600000

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.

250 : 1, 2, 5, 10, 25, 50, 125, 250

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

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

363 : 1, 3, 11, 33, 121, 363

424 : 1, 2, 4, 8, 53, 106, 212, 424

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,928,900,363,424, is 1.

Now, the common factors can be found like this.

250:2x 5x 5x 5

928:2x 2x 2x 2x 2x 29

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

363:3x 11x 11

424:2x 2x 2x 53

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 5x 5 = 4800

Therefore, the value for common factors is 4800.

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 = 32136825600000/(1x4800)

LCM = 32136825600000/4800

LCM = 6695172000

Thus, we can understand that the LCM of 250,928,900,363,424 is 6695172000.

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

• LCM of 525, 756, 978, 423, 586
• LCM of 402, 248, 659, 736, 839
• LCM of 267, 573, 794, 178, 197
• LCM of 454, 984, 720, 233, 611
• LCM of 171, 403, 136, 856, 240

1. What is the LCM of 250, 928, 900, 363, 424?

Answer: LCM of 250, 928, 900, 363, 424 is 6695172000.

2. How to calculate the LCM of 250, 928, 900, 363, 424?

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 250, 928, 900, 363, 424.

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}.