Given numbers are 814,670,557,678

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

The LCM of 814,670,557,678 is 51490143870.

Find LCM of 814,670,557,678 with Prime Factorization

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

2 x 407 x 335 x 557 x 339 = 51490143870

Therefore, the lowest common multiple of 814,670,557,678 is 51490143870.

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.

814 x 670 x 557 x 678 = 205960575480

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.

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

670 : 1, 2, 5, 10, 67, 134, 335, 670

557 : 1, 557

678 : 1, 2, 3, 6, 113, 226, 339, 678

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,670,557,678, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

670:2x 5x 67

557:557

678:2x 3x 113

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 205960575480/(1x4)

LCM = 205960575480/4

LCM = 51490143870

Thus, we can understand that the LCM of 814,670,557,678 is 51490143870.

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

• LCM of 391, 397, 357, 843
• LCM of 370, 574, 666, 111
• LCM of 296, 908, 555, 501
• LCM of 530, 404, 733, 217
• LCM of 132, 786, 215, 868

1. What is the LCM of 814, 670, 557, 678?

Answer: LCM of 814, 670, 557, 678 is 51490143870.

2. How to calculate the LCM of 814, 670, 557, 678?

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 814, 670, 557, 678.

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}.