Given numbers are 862,260,814

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

The LCM of 862,260,814 is 45608420.

Find LCM of 862,260,814 with Prime Factorization

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

2 x 431 x 130 x 407 = 45608420

Therefore, the lowest common multiple of 862,260,814 is 45608420.

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.

862 x 260 x 814 = 182433680

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.

862 : 1, 2, 431, 862

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

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 862,260,814, is 2.

Now, the common factors can be found like this.

862:2x 431

260:2x 2x 5x 13

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.

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 = 182433680/(2x2)

LCM = 182433680/4

LCM = 45608420

Thus, we can understand that the LCM of 862,260,814 is 45608420.

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

• LCM of 475, 948, 278
• LCM of 543, 538, 648
• LCM of 256, 726, 178
• LCM of 622, 808, 271
• LCM of 998, 241, 822

1. What is the LCM of 862, 260, 814?

Answer: LCM of 862, 260, 814 is 45608420.

2. How to calculate the LCM of 862, 260, 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 862, 260, 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}.