Given numbers are 678,224,940,353,800

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

The LCM of 678,224,940,353,800 is 31496354400.

Find LCM of 678,224,940,353,800 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 5 x 339 x 7 x 47 x 353 x 5 = 31496354400

Therefore, the lowest common multiple of 678,224,940,353,800 is 31496354400.

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.

678 x 224 x 940 x 353 x 800 = 40315333632000

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.

678 : 1, 2, 3, 6, 113, 226, 339, 678

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

353 : 1, 353

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 678,224,940,353,800, is 1.

Now, the common factors can be found like this.

678:2x 3x 113

224:2x 2x 2x 2x 2x 7

940:2x 2x 5x 47

353:353

800:2x 2x 2x 2x 2x 5x 5

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 2x 2x 5 = 1280

Therefore, the value for common factors is 1280.

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 = 40315333632000/(1x1280)

LCM = 40315333632000/1280

LCM = 31496354400

Thus, we can understand that the LCM of 678,224,940,353,800 is 31496354400.

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

• LCM of 854, 722, 241, 215, 709
• LCM of 701, 779, 280, 567, 530
• LCM of 323, 753, 353, 604, 470
• LCM of 833, 710, 646, 231, 892
• LCM of 164, 921, 778, 396, 630

1. What is the LCM of 678, 224, 940, 353, 800?

Answer: LCM of 678, 224, 940, 353, 800 is 31496354400.

2. How to calculate the LCM of 678, 224, 940, 353, 800?

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 678, 224, 940, 353, 800.

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}.