Given numbers are 275,218,454,460

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

The LCM of 275,218,454,460 is 625997900.

Find LCM of 275,218,454,460 with Prime Factorization

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

2 x 5 x 55 x 109 x 227 x 46 = 625997900

Therefore, the lowest common multiple of 275,218,454,460 is 625997900.

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.

275 x 218 x 454 x 460 = 12519958000

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.

275 : 1, 5, 11, 25, 55, 275

218 : 1, 2, 109, 218

454 : 1, 2, 227, 454

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 275,218,454,460, is 1.

Now, the common factors can be found like this.

275:5x 5x 11

218:2x 109

454:2x 227

460:2x 2x 5x 23

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 5 = 20

Therefore, the value for common factors is 20.

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 = 12519958000/(1x20)

LCM = 12519958000/20

LCM = 625997900

Thus, we can understand that the LCM of 275,218,454,460 is 625997900.

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

• LCM of 573, 420, 444, 675
• LCM of 598, 324, 862, 679
• LCM of 455, 263, 515, 602
• LCM of 842, 703, 424, 884
• LCM of 123, 694, 849, 861

1. What is the LCM of 275, 218, 454, 460?

Answer: LCM of 275, 218, 454, 460 is 625997900.

2. How to calculate the LCM of 275, 218, 454, 460?

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 275, 218, 454, 460.

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}.