Given numbers are 314,22,862

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

The LCM of 314,22,862 is 1488674.

Find LCM of 314,22,862 with Prime Factorization

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

2 x 157 x 11 x 431 = 1488674

Therefore, the lowest common multiple of 314,22,862 is 1488674.

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.

314 x 22 x 862 = 5954696

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.

314 : 1, 2, 157, 314

22 : 1, 2, 11, 22

862 : 1, 2, 431, 862

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,22,862, is 2.

Now, the common factors can be found like this.

314:2x 157

22:2x 11

862:2x 431

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 = 5954696/(2x2)

LCM = 5954696/4

LCM = 1488674

Thus, we can understand that the LCM of 314,22,862 is 1488674.

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

• LCM of 160, 50, 111
• LCM of 632, 63, 821
• LCM of 315, 45, 476
• LCM of 780, 22, 651
• LCM of 399, 54, 310

1. What is the LCM of 314, 22, 862?

Answer: LCM of 314, 22, 862 is 1488674.

2. How to calculate the LCM of 314, 22, 862?

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 314, 22, 862.

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}.