Given numbers are 814,845,692

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

The LCM of 814,845,692 is 237989180.

Find LCM of 814,845,692 with Prime Factorization

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

2 x 407 x 845 x 346 = 237989180

Therefore, the lowest common multiple of 814,845,692 is 237989180.

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 845 x 692 = 475978360

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

845 : 1, 5, 13, 65, 169, 845

692 : 1, 2, 4, 173, 346, 692

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,845,692, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

845:5x 13x 13

692:2x 2x 173

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

2 = 2

Therefore, the value for common factors is 2.

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 = 475978360/(1x2)

LCM = 475978360/2

LCM = 237989180

Thus, we can understand that the LCM of 814,845,692 is 237989180.

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

• LCM of 408, 214, 439
• LCM of 835, 829, 749
• LCM of 803, 860, 872
• LCM of 222, 315, 763
• LCM of 932, 988, 193

1. What is the LCM of 814, 845, 692?

Answer: LCM of 814, 845, 692 is 237989180.

2. How to calculate the LCM of 814, 845, 692?

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, 845, 692.

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}.