Given numbers are 780,707,966,790

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

The LCM of 780,707,966,790 is 1002002820.

Find LCM of 780,707,966,790 with Prime Factorization

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

2 x 3 x 5 x 7 x 26 x 101 x 23 x 79 = 1002002820

Therefore, the lowest common multiple of 780,707,966,790 is 1002002820.

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 707 x 966 x 790 = 420841184400

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

707 : 1, 7, 101, 707

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,707,966,790, is 1.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

707:7x 101

966:2x 3x 7x 23

790:2x 5x 79

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 3x 5x 7 = 420

Therefore, the value for common factors is 420.

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 = 420841184400/(1x420)

LCM = 420841184400/420

LCM = 1002002820

Thus, we can understand that the LCM of 780,707,966,790 is 1002002820.

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

• LCM of 745, 339, 738, 445
• LCM of 233, 920, 948, 265
• LCM of 571, 323, 433, 267
• LCM of 561, 967, 420, 968
• LCM of 109, 241, 241, 885

1. What is the LCM of 780, 707, 966, 790?

Answer: LCM of 780, 707, 966, 790 is 1002002820.

2. How to calculate the LCM of 780, 707, 966, 790?

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, 707, 966, 790.

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}.