Given numbers are 308,698,678,829

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

The LCM of 308,698,678,829 is 30208584252.

Find LCM of 308,698,678,829 with Prime Factorization

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

2 x 154 x 349 x 339 x 829 = 30208584252

Therefore, the lowest common multiple of 308,698,678,829 is 30208584252.

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.

308 x 698 x 678 x 829 = 120834337008

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

698 : 1, 2, 349, 698

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

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,698,678,829, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

698:2x 349

678:2x 3x 113

829:829

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 = 120834337008/(1x4)

LCM = 120834337008/4

LCM = 30208584252

Thus, we can understand that the LCM of 308,698,678,829 is 30208584252.

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

• LCM of 832, 627, 977, 180
• LCM of 517, 375, 503, 625
• LCM of 425, 925, 508, 706
• LCM of 437, 600, 103, 261
• LCM of 515, 707, 704, 763

1. What is the LCM of 308, 698, 678, 829?

Answer: LCM of 308, 698, 678, 829 is 30208584252.

2. How to calculate the LCM of 308, 698, 678, 829?

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 308, 698, 678, 829.

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}.