Given numbers are 830,532,730,490,460

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

The LCM of 830,532,730,490,460 is 2594827340.

Find LCM of 830,532,730,490,460 with Prime Factorization

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

2 x 2 x 5 x 7 x 83 x 19 x 73 x 7 x 23 = 2594827340

Therefore, the lowest common multiple of 830,532,730,490,460 is 2594827340.

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.

830 x 532 x 730 x 490 x 460 = 72655165520000

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.

830 : 1, 2, 5, 10, 83, 166, 415, 830

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

730 : 1, 2, 5, 10, 73, 146, 365, 730

490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,532,730,490,460, is 2.

Now, the common factors can be found like this.

830:2x 5x 83

532:2x 2x 7x 19

730:2x 5x 73

490:2x 5x 7x 7

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.

2x 2x 2x 2x 5x 5x 5x 7 = 14000

Therefore, the value for common factors is 14000.

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 = 72655165520000/(2x14000)

LCM = 72655165520000/28000

LCM = 2594827340

Thus, we can understand that the LCM of 830,532,730,490,460 is 2594827340.

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

• LCM of 898, 938, 779, 294, 226
• LCM of 927, 832, 957, 550, 123
• LCM of 820, 387, 432, 218, 343
• LCM of 984, 371, 604, 198, 854
• LCM of 453, 508, 727, 367, 560

1. What is the LCM of 830, 532, 730, 490, 460?

Answer: LCM of 830, 532, 730, 490, 460 is 2594827340.

2. How to calculate the LCM of 830, 532, 730, 490, 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 830, 532, 730, 490, 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}.