Given numbers are 343,856,318,420,864

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

The LCM of 343,856,318,420,864 is 8403060960.

Find LCM of 343,856,318,420,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 7 x 49 x 107 x 53 x 5 x 36 = 8403060960

Therefore, the lowest common multiple of 343,856,318,420,864 is 8403060960.

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 856 x 318 x 420 x 864 = 33881141790720

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

318 : 1, 2, 3, 6, 53, 106, 159, 318

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,856,318,420,864, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

856:2x 2x 2x 107

318:2x 3x 53

420:2x 2x 3x 5x 7

864:2x 2x 2x 2x 2x 3x 3x 3

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 2x 2x 3x 3x 7 = 4032

Therefore, the value for common factors is 4032.

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 = 33881141790720/(1x4032)

LCM = 33881141790720/4032

LCM = 8403060960

Thus, we can understand that the LCM of 343,856,318,420,864 is 8403060960.

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

• LCM of 854, 833, 539, 297, 106
• LCM of 898, 219, 777, 573, 564
• LCM of 505, 435, 212, 180, 359
• LCM of 593, 891, 927, 464, 355
• LCM of 105, 859, 326, 516, 479

1. What is the LCM of 343, 856, 318, 420, 864?

Answer: LCM of 343, 856, 318, 420, 864 is 8403060960.

2. How to calculate the LCM of 343, 856, 318, 420, 864?

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, 856, 318, 420, 864.

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}.