Given numbers are 460,478,453,987,813

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

The LCM of 460,478,453,987,813 is 4440369628380.

Find LCM of 460,478,453,987,813 with Prime Factorization

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

2 x 3 x 230 x 239 x 151 x 329 x 271 = 4440369628380

Therefore, the lowest common multiple of 460,478,453,987,813 is 4440369628380.

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 478 x 453 x 987 x 813 = 79926653310840

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

478 : 1, 2, 239, 478

453 : 1, 3, 151, 453

987 : 1, 3, 7, 21, 47, 141, 329, 987

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 460,478,453,987,813, is 1.

Now, the common factors can be found like this.

460:2x 2x 5x 23

478:2x 239

453:3x 151

987:3x 7x 47

813:3x 271

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 79926653310840/(1x18)

LCM = 79926653310840/18

LCM = 4440369628380

Thus, we can understand that the LCM of 460,478,453,987,813 is 4440369628380.

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

• LCM of 317, 166, 362, 223, 415
• LCM of 838, 778, 518, 312, 918
• LCM of 200, 525, 273, 958, 647
• LCM of 375, 882, 283, 676, 462
• LCM of 484, 264, 572, 320, 613

1. What is the LCM of 460, 478, 453, 987, 813?

Answer: LCM of 460, 478, 453, 987, 813 is 4440369628380.

2. How to calculate the LCM of 460, 478, 453, 987, 813?

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, 478, 453, 987, 813.

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}.