Given numbers are 839,174,438,414

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

The LCM of 839,174,438,414 is 735331482.

Find LCM of 839,174,438,414 with Prime Factorization

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

2 x 3 x 839 x 29 x 73 x 69 = 735331482

Therefore, the lowest common multiple of 839,174,438,414 is 735331482.

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.

839 x 174 x 438 x 414 = 26471933352

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.

839 : 1, 839

174 : 1, 2, 3, 6, 29, 58, 87, 174

438 : 1, 2, 3, 6, 73, 146, 219, 438

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,174,438,414, is 1.

Now, the common factors can be found like this.

839:839

174:2x 3x 29

438:2x 3x 73

414:2x 3x 3x 23

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 3x 3 = 36

Therefore, the value for common factors is 36.

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 = 26471933352/(1x36)

LCM = 26471933352/36

LCM = 735331482

Thus, we can understand that the LCM of 839,174,438,414 is 735331482.

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

• LCM of 866, 191, 764, 839
• LCM of 889, 252, 636, 506
• LCM of 628, 880, 314, 210
• LCM of 534, 842, 828, 331
• LCM of 584, 411, 560, 289

1. What is the LCM of 839, 174, 438, 414?

Answer: LCM of 839, 174, 438, 414 is 735331482.

2. How to calculate the LCM of 839, 174, 438, 414?

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 839, 174, 438, 414.

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}.