Given numbers are 214,153,226,687

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

The LCM of 214,153,226,687 is 847264734.

Find LCM of 214,153,226,687 with Prime Factorization

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

2 x 3 x 107 x 51 x 113 x 229 = 847264734

Therefore, the lowest common multiple of 214,153,226,687 is 847264734.

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 153 x 226 x 687 = 5083588404

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

153 : 1, 3, 9, 17, 51, 153

226 : 1, 2, 113, 226

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,153,226,687, is 1.

Now, the common factors can be found like this.

214:2x 107

153:3x 3x 17

226:2x 113

687:3x 229

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 5083588404/(1x6)

LCM = 5083588404/6

LCM = 847264734

Thus, we can understand that the LCM of 214,153,226,687 is 847264734.

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

• LCM of 770, 307, 632, 862
• LCM of 782, 652, 696, 433
• LCM of 692, 483, 977, 181
• LCM of 169, 144, 400, 500
• LCM of 204, 371, 442, 205

1. What is the LCM of 214, 153, 226, 687?

Answer: LCM of 214, 153, 226, 687 is 847264734.

2. How to calculate the LCM of 214, 153, 226, 687?

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, 153, 226, 687.

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}.