Given numbers are 628,216,780,340

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

The LCM of 628,216,780,340 is 37472760.

Find LCM of 628,216,780,340 with Prime Factorization

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

2 x 2 x 3 x 5 x 157 x 18 x 13 x 17 = 37472760

Therefore, the lowest common multiple of 628,216,780,340 is 37472760.

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 216 x 780 x 340 = 35973849600

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

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 628,216,780,340, is 4.

Now, the common factors can be found like this.

628:2x 2x 157

216:2x 2x 2x 3x 3x 3

780:2x 2x 3x 5x 13

340:2x 2x 5x 17

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 5 = 240

Therefore, the value for common factors is 240.

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 = 35973849600/(4x240)

LCM = 35973849600/960

LCM = 37472760

Thus, we can understand that the LCM of 628,216,780,340 is 37472760.

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

• LCM of 128, 802, 756, 423
• LCM of 730, 277, 462, 396
• LCM of 416, 743, 228, 868
• LCM of 500, 411, 928, 120
• LCM of 767, 863, 558, 103

1. What is the LCM of 628, 216, 780, 340?

Answer: LCM of 628, 216, 780, 340 is 37472760.

2. How to calculate the LCM of 628, 216, 780, 340?

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, 216, 780, 340.

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}.