Given numbers are 628,620,212,408,614

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

The LCM of 628,620,212,408,614 is 161549552280.

Find LCM of 628,620,212,408,614 with Prime Factorization

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

2 x 2 x 157 x 155 x 53 x 102 x 307 = 161549552280

Therefore, the lowest common multiple of 628,620,212,408,614 is 161549552280.

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.

628 x 620 x 212 x 408 x 614 = 20678342691840

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.

628 : 1, 2, 4, 157, 314, 628

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

212 : 1, 2, 4, 53, 106, 212

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

614 : 1, 2, 307, 614

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,620,212,408,614, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

620:2x 2x 5x 31

212:2x 2x 53

408:2x 2x 2x 3x 17

614:2x 307

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 2 = 64

Therefore, the value for common factors is 64.

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 = 20678342691840/(2x64)

LCM = 20678342691840/128

LCM = 161549552280

Thus, we can understand that the LCM of 628,620,212,408,614 is 161549552280.

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

• LCM of 681, 876, 433, 200, 998
• LCM of 488, 393, 597, 894, 852
• LCM of 583, 606, 605, 802, 145
• LCM of 732, 751, 632, 997, 168
• LCM of 215, 359, 558, 826, 809

1. What is the LCM of 628, 620, 212, 408, 614?

Answer: LCM of 628, 620, 212, 408, 614 is 161549552280.

2. How to calculate the LCM of 628, 620, 212, 408, 614?

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 628, 620, 212, 408, 614.

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}.