Given numbers are 780,950,644,560

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

The LCM of 780,950,644,560 is 47720400.

Find LCM of 780,950,644,560 with Prime Factorization

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

2 x 2 x 5 x 7 x 39 x 95 x 23 x 4 = 47720400

Therefore, the lowest common multiple of 780,950,644,560 is 47720400.

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 950 x 644 x 560 = 267234240000

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

950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,950,644,560, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

950:2x 5x 5x 19

644:2x 2x 7x 23

560:2x 2x 2x 2x 5x 7

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 5x 5x 7 = 2800

Therefore, the value for common factors is 2800.

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 = 267234240000/(2x2800)

LCM = 267234240000/5600

LCM = 47720400

Thus, we can understand that the LCM of 780,950,644,560 is 47720400.

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

• LCM of 411, 565, 406, 501
• LCM of 213, 972, 306, 459
• LCM of 139, 364, 386, 512
• LCM of 482, 946, 438, 580
• LCM of 409, 912, 778, 958

1. What is the LCM of 780, 950, 644, 560?

Answer: LCM of 780, 950, 644, 560 is 47720400.

2. How to calculate the LCM of 780, 950, 644, 560?

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, 950, 644, 560.

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}.