Given numbers are 214,493,422,290

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

The LCM of 214,493,422,290 is 111304610.

Find LCM of 214,493,422,290 with Prime Factorization

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

2 x 29 x 107 x 17 x 211 x 5 = 111304610

Therefore, the lowest common multiple of 214,493,422,290 is 111304610.

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.

214 x 493 x 422 x 290 = 12911334760

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.

214 : 1, 2, 107, 214

493 : 1, 17, 29, 493

422 : 1, 2, 211, 422

290 : 1, 2, 5, 10, 29, 58, 145, 290

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,493,422,290, is 1.

Now, the common factors can be found like this.

214:2x 107

493:17x 29

422:2x 211

290:2x 5x 29

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

2x 2x 29 = 116

Therefore, the value for common factors is 116.

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 = 12911334760/(1x116)

LCM = 12911334760/116

LCM = 111304610

Thus, we can understand that the LCM of 214,493,422,290 is 111304610.

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

• LCM of 405, 545, 995, 780
• LCM of 803, 237, 293, 476
• LCM of 835, 514, 693, 423
• LCM of 262, 593, 973, 480
• LCM of 652, 566, 541, 366

1. What is the LCM of 214, 493, 422, 290?

Answer: LCM of 214, 493, 422, 290 is 111304610.

2. How to calculate the LCM of 214, 493, 422, 290?

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 214, 493, 422, 290.

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}.