Given numbers are 628,612,408,420

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

The LCM of 628,612,408,420 is 6725880.

Find LCM of 628,612,408,420 with Prime Factorization

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

2 x 2 x 3 x 17 x 157 x 3 x 2 x 35 = 6725880

Therefore, the lowest common multiple of 628,612,408,420 is 6725880.

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 612 x 408 x 420 = 65859816960

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

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

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

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,612,408,420, is 4.

Now, the common factors can be found like this.

628:2x 2x 157

612:2x 2x 3x 3x 17

408:2x 2x 2x 3x 17

420:2x 2x 3x 5x 7

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 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 65859816960/(4x2448)

LCM = 65859816960/9792

LCM = 6725880

Thus, we can understand that the LCM of 628,612,408,420 is 6725880.

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

• LCM of 708, 948, 613, 339
• LCM of 190, 265, 655, 284
• LCM of 322, 531, 483, 911
• LCM of 757, 389, 753, 114
• LCM of 504, 236, 395, 272

1. What is the LCM of 628, 612, 408, 420?

Answer: LCM of 628, 612, 408, 420 is 6725880.

2. How to calculate the LCM of 628, 612, 408, 420?

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, 612, 408, 420.

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}.