Given numbers are 460,158,459,431

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

The LCM of 460,158,459,431 is 7189105860.

Find LCM of 460,158,459,431 with Prime Factorization

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

2 x 230 x 79 x 459 x 431 = 7189105860

Therefore, the lowest common multiple of 460,158,459,431 is 7189105860.

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 158 x 459 x 431 = 14378211720

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

158 : 1, 2, 79, 158

459 : 1, 3, 9, 17, 27, 51, 153, 459

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,158,459,431, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

158:2x 79

459:3x 3x 3x 17

431:431

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

2 = 2

Therefore, the value for common factors is 2.

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 = 14378211720/(1x2)

LCM = 14378211720/2

LCM = 7189105860

Thus, we can understand that the LCM of 460,158,459,431 is 7189105860.

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

• LCM of 333, 959, 113, 725
• LCM of 298, 858, 120, 928
• LCM of 818, 739, 314, 693
• LCM of 597, 150, 825, 870
• LCM of 999, 810, 586, 666

1. What is the LCM of 460, 158, 459, 431?

Answer: LCM of 460, 158, 459, 431 is 7189105860.

2. How to calculate the LCM of 460, 158, 459, 431?

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, 158, 459, 431.

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}.