Given numbers are 677,722,906,552,214

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

The LCM of 677,722,906,552,214 is 2179694725608.

Find LCM of 677,722,906,552,214 with Prime Factorization

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

2 x 3 x 677 x 361 x 151 x 92 x 107 = 2179694725608

Therefore, the lowest common multiple of 677,722,906,552,214 is 2179694725608.

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.

677 x 722 x 906 x 552 x 214 = 52312673414592

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.

677 : 1, 677

722 : 1, 2, 19, 38, 361, 722

906 : 1, 2, 3, 6, 151, 302, 453, 906

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,722,906,552,214, is 1.

Now, the common factors can be found like this.

677:677

722:2x 19x 19

906:2x 3x 151

552:2x 2x 2x 3x 23

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 3 = 24

Therefore, the value for common factors is 24.

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 = 52312673414592/(1x24)

LCM = 52312673414592/24

LCM = 2179694725608

Thus, we can understand that the LCM of 677,722,906,552,214 is 2179694725608.

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

• LCM of 875, 754, 880, 605, 357
• LCM of 248, 704, 983, 635, 842
• LCM of 422, 904, 128, 171, 110
• LCM of 128, 463, 507, 240, 471
• LCM of 789, 244, 626, 921, 917

1. What is the LCM of 677, 722, 906, 552, 214?

Answer: LCM of 677, 722, 906, 552, 214 is 2179694725608.

2. How to calculate the LCM of 677, 722, 906, 552, 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 677, 722, 906, 552, 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}.