Given numbers are 343,568,272,214

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

The LCM of 343,568,272,214 is 708769712.

Find LCM of 343,568,272,214 with Prime Factorization

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

2 x 2 x 2 x 343 x 71 x 34 x 107 = 708769712

Therefore, the lowest common multiple of 343,568,272,214 is 708769712.

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 568 x 272 x 214 = 11340315392

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

568 : 1, 2, 4, 8, 71, 142, 284, 568

272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,568,272,214, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

568:2x 2x 2x 71

272:2x 2x 2x 2x 17

214:2x 107

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11340315392/(1x16)

LCM = 11340315392/16

LCM = 708769712

Thus, we can understand that the LCM of 343,568,272,214 is 708769712.

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

• LCM of 200, 138, 780, 525
• LCM of 284, 887, 168, 858
• LCM of 391, 834, 210, 530
• LCM of 416, 792, 194, 591
• LCM of 696, 456, 866, 825

1. What is the LCM of 343, 568, 272, 214?

Answer: LCM of 343, 568, 272, 214 is 708769712.

2. How to calculate the LCM of 343, 568, 272, 214?

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, 568, 272, 214.

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}.