Given numbers are 574,214,214,946

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

The LCM of 574,214,214,946 is 29050714.

Find LCM of 574,214,214,946 with Prime Factorization

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

2 x 107 x 287 x 1 x 1 x 473 = 29050714

Therefore, the lowest common multiple of 574,214,214,946 is 29050714.

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.

574 x 214 x 214 x 946 = 24867411184

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.

574 : 1, 2, 7, 14, 41, 82, 287, 574

214 : 1, 2, 107, 214

214 : 1, 2, 107, 214

946 : 1, 2, 11, 22, 43, 86, 473, 946

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 574,214,214,946, is 2.

Now, the common factors can be found like this.

574:2x 7x 41

214:2x 107

214:2x 107

946:2x 11x 43

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 107 = 428

Therefore, the value for common factors is 428.

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 = 24867411184/(2x428)

LCM = 24867411184/856

LCM = 29050714

Thus, we can understand that the LCM of 574,214,214,946 is 29050714.

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

• LCM of 199, 459, 969, 230
• LCM of 373, 543, 159, 878
• LCM of 276, 372, 284, 886
• LCM of 420, 552, 951, 412
• LCM of 879, 513, 604, 948

1. What is the LCM of 574, 214, 214, 946?

Answer: LCM of 574, 214, 214, 946 is 29050714.

2. How to calculate the LCM of 574, 214, 214, 946?

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 574, 214, 214, 946.

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}.