Given numbers are 735,849,356,214

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

The LCM of 735,849,356,214 is 7923326460.

Find LCM of 735,849,356,214 with Prime Factorization

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

2 x 3 x 245 x 283 x 178 x 107 = 7923326460

Therefore, the lowest common multiple of 735,849,356,214 is 7923326460.

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.

735 x 849 x 356 x 214 = 47539958760

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.

735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

849 : 1, 3, 283, 849

356 : 1, 2, 4, 89, 178, 356

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,849,356,214, is 1.

Now, the common factors can be found like this.

735:3x 5x 7x 7

849:3x 283

356:2x 2x 89

214:2x 107

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 = 47539958760/(1x6)

LCM = 47539958760/6

LCM = 7923326460

Thus, we can understand that the LCM of 735,849,356,214 is 7923326460.

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

• LCM of 350, 729, 133, 162
• LCM of 414, 701, 130, 648
• LCM of 341, 317, 294, 980
• LCM of 683, 583, 145, 431
• LCM of 991, 664, 105, 407

1. What is the LCM of 735, 849, 356, 214?

Answer: LCM of 735, 849, 356, 214 is 7923326460.

2. How to calculate the LCM of 735, 849, 356, 214?

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 735, 849, 356, 214.

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}.