Given numbers are 460,609,814

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

The LCM of 460,609,814 is 114016980.

Find LCM of 460,609,814 with Prime Factorization

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

2 x 230 x 609 x 407 = 114016980

Therefore, the lowest common multiple of 460,609,814 is 114016980.

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 609 x 814 = 228033960

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

609 : 1, 3, 7, 21, 29, 87, 203, 609

814 : 1, 2, 11, 22, 37, 74, 407, 814

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,609,814, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

609:3x 7x 29

814:2x 11x 37

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 = 228033960/(1x2)

LCM = 228033960/2

LCM = 114016980

Thus, we can understand that the LCM of 460,609,814 is 114016980.

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

• LCM of 210, 918, 220
• LCM of 147, 303, 454
• LCM of 123, 477, 445
• LCM of 113, 405, 304
• LCM of 160, 764, 637

1. What is the LCM of 460, 609, 814?

Answer: LCM of 460, 609, 814 is 114016980.

2. How to calculate the LCM of 460, 609, 814?

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, 609, 814.

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}.