Given numbers are 343,361,204,844

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

The LCM of 343,361,204,844 is 5329837212.

Find LCM of 343,361,204,844 with Prime Factorization

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

2 x 2 x 343 x 361 x 51 x 211 = 5329837212

Therefore, the lowest common multiple of 343,361,204,844 is 5329837212.

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.

343 x 361 x 204 x 844 = 21319348848

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.

343 : 1, 7, 49, 343

361 : 1, 19, 361

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

844 : 1, 2, 4, 211, 422, 844

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,361,204,844, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

361:19x 19

204:2x 2x 3x 17

844:2x 2x 211

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 21319348848/(1x4)

LCM = 21319348848/4

LCM = 5329837212

Thus, we can understand that the LCM of 343,361,204,844 is 5329837212.

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

• LCM of 361, 713, 177, 601
• LCM of 140, 101, 931, 171
• LCM of 480, 133, 358, 584
• LCM of 754, 529, 115, 542
• LCM of 541, 982, 818, 644

1. What is the LCM of 343, 361, 204, 844?

Answer: LCM of 343, 361, 204, 844 is 5329837212.

2. How to calculate the LCM of 343, 361, 204, 844?

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 343, 361, 204, 844.

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}.