Given numbers are 459,758,460

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

The LCM of 459,758,460 is 80022060.

Find LCM of 459,758,460 with Prime Factorization

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

2 x 459 x 379 x 230 = 80022060

Therefore, the lowest common multiple of 459,758,460 is 80022060.

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.

459 x 758 x 460 = 160044120

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.

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

758 : 1, 2, 379, 758

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 459,758,460, is 1.

Now, the common factors can be found like this.

459:3x 3x 3x 17

758:2x 379

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.

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 = 160044120/(1x2)

LCM = 160044120/2

LCM = 80022060

Thus, we can understand that the LCM of 459,758,460 is 80022060.

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

• LCM of 612, 601, 907
• LCM of 741, 406, 342
• LCM of 316, 125, 993
• LCM of 412, 339, 222
• LCM of 398, 131, 453

1. What is the LCM of 459, 758, 460?

Answer: LCM of 459, 758, 460 is 80022060.

2. How to calculate the LCM of 459, 758, 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 459, 758, 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}.