Given numbers are 480,977,198,343

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

The LCM of 480,977,198,343 is 5308158240.

Find LCM of 480,977,198,343 with Prime Factorization

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

2 x 3 x 80 x 977 x 33 x 343 = 5308158240

Therefore, the lowest common multiple of 480,977,198,343 is 5308158240.

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.

480 x 977 x 198 x 343 = 31848949440

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.

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

977 : 1, 977

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

343 : 1, 7, 49, 343

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 480,977,198,343, is 1.

Now, the common factors can be found like this.

480:2x 2x 2x 2x 2x 3x 5

977:977

198:2x 3x 3x 11

343:7x 7x 7

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31848949440/(1x6)

LCM = 31848949440/6

LCM = 5308158240

Thus, we can understand that the LCM of 480,977,198,343 is 5308158240.

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

• LCM of 311, 316, 170, 445
• LCM of 388, 869, 406, 796
• LCM of 626, 694, 768, 345
• LCM of 687, 932, 391, 257
• LCM of 625, 144, 721, 805

1. What is the LCM of 480, 977, 198, 343?

Answer: LCM of 480, 977, 198, 343 is 5308158240.

2. How to calculate the LCM of 480, 977, 198, 343?

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 480, 977, 198, 343.

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}.