Given numbers are 412,398,120,780

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

The LCM of 412,398,120,780 is 31975320.

Find LCM of 412,398,120,780 with Prime Factorization

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

2 x 2 x 3 x 5 x 103 x 199 x 2 x 13 = 31975320

Therefore, the lowest common multiple of 412,398,120,780 is 31975320.

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.

412 x 398 x 120 x 780 = 15348153600

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.

412 : 1, 2, 4, 103, 206, 412

398 : 1, 2, 199, 398

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,398,120,780, is 2.

Now, the common factors can be found like this.

412:2x 2x 103

398:2x 199

120:2x 2x 2x 3x 5

780:2x 2x 3x 5x 13

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 = 15348153600/(2x240)

LCM = 15348153600/480

LCM = 31975320

Thus, we can understand that the LCM of 412,398,120,780 is 31975320.

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

• LCM of 211, 152, 778, 332
• LCM of 131, 953, 288, 212
• LCM of 991, 688, 120, 621
• LCM of 587, 795, 378, 354
• LCM of 956, 786, 505, 922

1. What is the LCM of 412, 398, 120, 780?

Answer: LCM of 412, 398, 120, 780 is 31975320.

2. How to calculate the LCM of 412, 398, 120, 780?

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 412, 398, 120, 780.

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}.