Given numbers are 398,165,654,460,750

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

The LCM of 398,165,654,460,750 is 8231734500.

Find LCM of 398,165,654,460,750 with Prime Factorization

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

2 x 3 x 5 x 199 x 11 x 109 x 46 x 25 = 8231734500

Therefore, the lowest common multiple of 398,165,654,460,750 is 8231734500.

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.

398 x 165 x 654 x 460 x 750 = 14817122100000

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.

398 : 1, 2, 199, 398

165 : 1, 3, 5, 11, 15, 33, 55, 165

654 : 1, 2, 3, 6, 109, 218, 327, 654

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,165,654,460,750, is 1.

Now, the common factors can be found like this.

398:2x 199

165:3x 5x 11

654:2x 3x 109

460:2x 2x 5x 23

750:2x 3x 5x 5x 5

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 5 = 1800

Therefore, the value for common factors is 1800.

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 = 14817122100000/(1x1800)

LCM = 14817122100000/1800

LCM = 8231734500

Thus, we can understand that the LCM of 398,165,654,460,750 is 8231734500.

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

• LCM of 647, 736, 376, 755, 422
• LCM of 631, 238, 925, 409, 163
• LCM of 134, 421, 432, 173, 911
• LCM of 932, 917, 193, 773, 775
• LCM of 157, 472, 923, 112, 499

1. What is the LCM of 398, 165, 654, 460, 750?

Answer: LCM of 398, 165, 654, 460, 750 is 8231734500.

2. How to calculate the LCM of 398, 165, 654, 460, 750?

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 398, 165, 654, 460, 750.

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}.