Given numbers are 780,738,174,974,814

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

The LCM of 780,738,174,974,814 is 551468972340.

Find LCM of 780,738,174,974,814 with Prime Factorization

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

2 x 3 x 130 x 123 x 29 x 487 x 407 = 551468972340

Therefore, the lowest common multiple of 780,738,174,974,814 is 551468972340.

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 738 x 174 x 974 x 814 = 79411532016960

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

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

174 : 1, 2, 3, 6, 29, 58, 87, 174

974 : 1, 2, 487, 974

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,738,174,974,814, is 2.

Now, the common factors can be found like this.

780:2x 2x 3x 5x 13

738:2x 3x 3x 41

174:2x 3x 29

974:2x 487

814:2x 11x 37

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 79411532016960/(2x72)

LCM = 79411532016960/144

LCM = 551468972340

Thus, we can understand that the LCM of 780,738,174,974,814 is 551468972340.

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

• LCM of 730, 807, 193, 991, 760
• LCM of 317, 196, 757, 520, 457
• LCM of 923, 687, 323, 823, 357
• LCM of 560, 182, 817, 117, 492
• LCM of 484, 129, 659, 903, 336

1. What is the LCM of 780, 738, 174, 974, 814?

Answer: LCM of 780, 738, 174, 974, 814 is 551468972340.

2. How to calculate the LCM of 780, 738, 174, 974, 814?

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, 738, 174, 974, 814.

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}.