Given numbers are 780,414,556,964

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

The LCM of 780,414,556,964 is 1802916180.

Find LCM of 780,414,556,964 with Prime Factorization

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

2 x 2 x 3 x 65 x 69 x 139 x 241 = 1802916180

Therefore, the lowest common multiple of 780,414,556,964 is 1802916180.

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 414 x 556 x 964 = 173079953280

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

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

556 : 1, 2, 4, 139, 278, 556

964 : 1, 2, 4, 241, 482, 964

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,414,556,964, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

414:2x 3x 3x 23

556:2x 2x 139

964:2x 2x 241

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 3 = 48

Therefore, the value for common factors is 48.

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 = 173079953280/(2x48)

LCM = 173079953280/96

LCM = 1802916180

Thus, we can understand that the LCM of 780,414,556,964 is 1802916180.

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

• LCM of 940, 792, 538, 816
• LCM of 647, 737, 325, 778
• LCM of 403, 614, 269, 777
• LCM of 499, 236, 927, 102
• LCM of 732, 201, 616, 202

1. What is the LCM of 780, 414, 556, 964?

Answer: LCM of 780, 414, 556, 964 is 1802916180.

2. How to calculate the LCM of 780, 414, 556, 964?

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, 414, 556, 964.

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}.