Given numbers are 460,876,239,326,468

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

The LCM of 460,876,239,326,468 is 153056599020.

Find LCM of 460,876,239,326,468 with Prime Factorization

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

2 x 2 x 3 x 115 x 73 x 239 x 163 x 39 = 153056599020

Therefore, the lowest common multiple of 460,876,239,326,468 is 153056599020.

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 876 x 239 x 326 x 468 = 14693433505920

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

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

239 : 1, 239

326 : 1, 2, 163, 326

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,876,239,326,468, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

876:2x 2x 3x 73

239:239

326:2x 163

468:2x 2x 3x 3x 13

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 2x 2x 2x 3 = 96

Therefore, the value for common factors is 96.

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 = 14693433505920/(1x96)

LCM = 14693433505920/96

LCM = 153056599020

Thus, we can understand that the LCM of 460,876,239,326,468 is 153056599020.

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

• LCM of 744, 647, 664, 145, 354
• LCM of 106, 541, 307, 199, 576
• LCM of 539, 875, 967, 177, 856
• LCM of 699, 612, 523, 968, 377
• LCM of 397, 572, 657, 752, 130

1. What is the LCM of 460, 876, 239, 326, 468?

Answer: LCM of 460, 876, 239, 326, 468 is 153056599020.

2. How to calculate the LCM of 460, 876, 239, 326, 468?

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, 876, 239, 326, 468.

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}.