Given numbers are 313,84,422

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

The LCM of 313,84,422 is 5547612.

Find LCM of 313,84,422 with Prime Factorization

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

2 x 313 x 42 x 211 = 5547612

Therefore, the lowest common multiple of 313,84,422 is 5547612.

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.

313 x 84 x 422 = 11095224

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.

313 : 1, 313

84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,84,422, is 1.

Now, the common factors can be found like this.

313:313

84:2x 2x 3x 7

422:2x 211

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 = 11095224/(1x2)

LCM = 11095224/2

LCM = 5547612

Thus, we can understand that the LCM of 313,84,422 is 5547612.

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

• LCM of 338, 22, 448
• LCM of 236, 93, 115
• LCM of 447, 59, 338
• LCM of 569, 33, 386
• LCM of 835, 86, 748

1. What is the LCM of 313, 84, 422?

Answer: LCM of 313, 84, 422 is 5547612.

2. How to calculate the LCM of 313, 84, 422?

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 313, 84, 422.

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}.