Given numbers are 750,687,460,227

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

The LCM of 750,687,460,227 is 1793413500.

Find LCM of 750,687,460,227 with Prime Factorization

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

2 x 3 x 5 x 25 x 229 x 46 x 227 = 1793413500

Therefore, the lowest common multiple of 750,687,460,227 is 1793413500.

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.

750 x 687 x 460 x 227 = 53802405000

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.

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

687 : 1, 3, 229, 687

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

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 750,687,460,227, is 1.

Now, the common factors can be found like this.

750:2x 3x 5x 5x 5

687:3x 229

460:2x 2x 5x 23

227:227

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 5 = 30

Therefore, the value for common factors is 30.

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 = 53802405000/(1x30)

LCM = 53802405000/30

LCM = 1793413500

Thus, we can understand that the LCM of 750,687,460,227 is 1793413500.

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

• LCM of 224, 969, 122, 814
• LCM of 652, 682, 821, 588
• LCM of 298, 137, 876, 932
• LCM of 185, 881, 426, 256
• LCM of 631, 260, 707, 588

1. What is the LCM of 750, 687, 460, 227?

Answer: LCM of 750, 687, 460, 227 is 1793413500.

2. How to calculate the LCM of 750, 687, 460, 227?

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 750, 687, 460, 227.

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}.