Given numbers are 491,312,822,386,802

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

The LCM of 491,312,822,386,802 is 1624270418472.

Find LCM of 491,312,822,386,802 with Prime Factorization

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

2 x 3 x 491 x 52 x 137 x 193 x 401 = 1624270418472

Therefore, the lowest common multiple of 491,312,822,386,802 is 1624270418472.

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.

491 x 312 x 822 x 386 x 802 = 38982490043328

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.

491 : 1, 491

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

822 : 1, 2, 3, 6, 137, 274, 411, 822

386 : 1, 2, 193, 386

802 : 1, 2, 401, 802

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,312,822,386,802, is 1.

Now, the common factors can be found like this.

491:491

312:2x 2x 2x 3x 13

822:2x 3x 137

386:2x 193

802:2x 401

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 3 = 24

Therefore, the value for common factors is 24.

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 = 38982490043328/(1x24)

LCM = 38982490043328/24

LCM = 1624270418472

Thus, we can understand that the LCM of 491,312,822,386,802 is 1624270418472.

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

• LCM of 197, 779, 486, 834, 313
• LCM of 830, 515, 701, 746, 780
• LCM of 857, 921, 807, 929, 314
• LCM of 882, 744, 139, 731, 880
• LCM of 510, 938, 910, 412, 475

1. What is the LCM of 491, 312, 822, 386, 802?

Answer: LCM of 491, 312, 822, 386, 802 is 1624270418472.

2. How to calculate the LCM of 491, 312, 822, 386, 802?

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 491, 312, 822, 386, 802.

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}.