Given numbers are 667,345,213,423

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

The LCM of 667,345,213,423 is 100160055.

Find LCM of 667,345,213,423 with Prime Factorization

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

3 x 23 x 29 x 5 x 71 x 141 = 100160055

Therefore, the lowest common multiple of 667,345,213,423 is 100160055.

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.

667 x 345 x 213 x 423 = 20733131385

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.

667 : 1, 23, 29, 667

345 : 1, 3, 5, 15, 23, 69, 115, 345

213 : 1, 3, 71, 213

423 : 1, 3, 9, 47, 141, 423

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,345,213,423, is 1.

Now, the common factors can be found like this.

667:23x 29

345:3x 5x 23

213:3x 71

423:3x 3x 47

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

3x 3x 23 = 207

Therefore, the value for common factors is 207.

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 = 20733131385/(1x207)

LCM = 20733131385/207

LCM = 100160055

Thus, we can understand that the LCM of 667,345,213,423 is 100160055.

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

• LCM of 122, 181, 269, 302
• LCM of 691, 727, 497, 785
• LCM of 952, 748, 983, 607
• LCM of 165, 584, 332, 818
• LCM of 223, 984, 713, 951

1. What is the LCM of 667, 345, 213, 423?

Answer: LCM of 667, 345, 213, 423 is 100160055.

2. How to calculate the LCM of 667, 345, 213, 423?

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 667, 345, 213, 423.

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}.