Given numbers are 460,381,889,457

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

The LCM of 460,381,889,457 is 560656740.

Find LCM of 460,381,889,457 with Prime Factorization

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

127 x 460 x 3 x 7 x 457 = 560656740

Therefore, the lowest common multiple of 460,381,889,457 is 560656740.

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.

460 x 381 x 889 x 457 = 71203405980

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.

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

381 : 1, 3, 127, 381

889 : 1, 7, 127, 889

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,381,889,457, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

381:3x 127

889:7x 127

457:457

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

127 = 127

Therefore, the value for common factors is 127.

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 = 71203405980/(1x127)

LCM = 71203405980/127

LCM = 560656740

Thus, we can understand that the LCM of 460,381,889,457 is 560656740.

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

• LCM of 343, 725, 190, 549
• LCM of 507, 495, 619, 418
• LCM of 797, 196, 308, 103
• LCM of 642, 257, 153, 476
• LCM of 843, 451, 908, 514

1. What is the LCM of 460, 381, 889, 457?

Answer: LCM of 460, 381, 889, 457 is 560656740.

2. How to calculate the LCM of 460, 381, 889, 457?

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 460, 381, 889, 457.

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}.