Given numbers are 628,720,402,966

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

The LCM of 628,720,402,966 is 1219362480.

Find LCM of 628,720,402,966 with Prime Factorization

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

2 x 2 x 3 x 157 x 60 x 67 x 161 = 1219362480

Therefore, the lowest common multiple of 628,720,402,966 is 1219362480.

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 720 x 402 x 966 = 175588197120

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

402 : 1, 2, 3, 6, 67, 134, 201, 402

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,720,402,966, is 2.

Now, the common factors can be found like this.

628:2x 2x 157

720:2x 2x 2x 2x 3x 3x 5

402:2x 3x 67

966:2x 3x 7x 23

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 175588197120/(2x72)

LCM = 175588197120/144

LCM = 1219362480

Thus, we can understand that the LCM of 628,720,402,966 is 1219362480.

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

• LCM of 411, 185, 843, 809
• LCM of 152, 659, 589, 953
• LCM of 191, 336, 734, 425
• LCM of 427, 343, 358, 823
• LCM of 247, 965, 448, 634

1. What is the LCM of 628, 720, 402, 966?

Answer: LCM of 628, 720, 402, 966 is 1219362480.

2. How to calculate the LCM of 628, 720, 402, 966?

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, 720, 402, 966.

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}.