Given numbers are 829,315,128,679,478

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

The LCM of 829,315,128,679,478 is 774898266240.

Find LCM of 829,315,128,679,478 with Prime Factorization

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

2 x 7 x 829 x 45 x 64 x 97 x 239 = 774898266240

Therefore, the lowest common multiple of 829,315,128,679,478 is 774898266240.

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.

829 x 315 x 128 x 679 x 478 = 10848575727360

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.

829 : 1, 829

315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

128 : 1, 2, 4, 8, 16, 32, 64, 128

679 : 1, 7, 97, 679

478 : 1, 2, 239, 478

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,315,128,679,478, is 1.

Now, the common factors can be found like this.

829:829

315:3x 3x 5x 7

128:2x 2x 2x 2x 2x 2x 2

679:7x 97

478:2x 239

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 10848575727360/(1x14)

LCM = 10848575727360/14

LCM = 774898266240

Thus, we can understand that the LCM of 829,315,128,679,478 is 774898266240.

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

• LCM of 219, 247, 477, 808, 685
• LCM of 250, 921, 632, 927, 773
• LCM of 146, 959, 569, 439, 146
• LCM of 536, 473, 364, 636, 962
• LCM of 187, 605, 537, 531, 353

1. What is the LCM of 829, 315, 128, 679, 478?

Answer: LCM of 829, 315, 128, 679, 478 is 774898266240.

2. How to calculate the LCM of 829, 315, 128, 679, 478?

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 829, 315, 128, 679, 478.

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}.