Given numbers are 780,264,612,394

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

The LCM of 780,264,612,394 is 172406520.

Find LCM of 780,264,612,394 with Prime Factorization

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

2 x 2 x 3 x 65 x 22 x 51 x 197 = 172406520

Therefore, the lowest common multiple of 780,264,612,394 is 172406520.

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.

780 x 264 x 612 x 394 = 49653077760

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.

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

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

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

394 : 1, 2, 197, 394

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,264,612,394, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

264:2x 2x 2x 3x 11

612:2x 2x 3x 3x 17

394:2x 197

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 3 = 144

Therefore, the value for common factors is 144.

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 = 49653077760/(2x144)

LCM = 49653077760/288

LCM = 172406520

Thus, we can understand that the LCM of 780,264,612,394 is 172406520.

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

• LCM of 921, 653, 639, 408
• LCM of 358, 416, 371, 876
• LCM of 349, 341, 269, 930
• LCM of 576, 735, 151, 404
• LCM of 126, 321, 851, 817

1. What is the LCM of 780, 264, 612, 394?

Answer: LCM of 780, 264, 612, 394 is 172406520.

2. How to calculate the LCM of 780, 264, 612, 394?

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 780, 264, 612, 394.

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}.