Given numbers are 676,367,780,786

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

The LCM of 676,367,780,786 is 487500780.

Find LCM of 676,367,780,786 with Prime Factorization

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

2 x 2 x 3 x 13 x 13 x 367 x 5 x 131 = 487500780

Therefore, the lowest common multiple of 676,367,780,786 is 487500780.

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.

676 x 367 x 780 x 786 = 152100243360

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

367 : 1, 367

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

786 : 1, 2, 3, 6, 131, 262, 393, 786

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,367,780,786, is 1.

Now, the common factors can be found like this.

676:2x 2x 13x 13

367:367

780:2x 2x 3x 5x 13

786:2x 3x 131

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 13 = 312

Therefore, the value for common factors is 312.

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 = 152100243360/(1x312)

LCM = 152100243360/312

LCM = 487500780

Thus, we can understand that the LCM of 676,367,780,786 is 487500780.

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

• LCM of 211, 381, 385, 691
• LCM of 143, 853, 314, 400
• LCM of 544, 799, 566, 288
• LCM of 864, 563, 640, 649
• LCM of 962, 468, 188, 236

1. What is the LCM of 676, 367, 780, 786?

Answer: LCM of 676, 367, 780, 786 is 487500780.

2. How to calculate the LCM of 676, 367, 780, 786?

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 676, 367, 780, 786.

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}.