Given numbers are 214,790,770,397

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

The LCM of 214,790,770,397 is 2583997570.

Find LCM of 214,790,770,397 with Prime Factorization

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

2 x 5 x 107 x 79 x 77 x 397 = 2583997570

Therefore, the lowest common multiple of 214,790,770,397 is 2583997570.

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 790 x 770 x 397 = 51679951400

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

790 : 1, 2, 5, 10, 79, 158, 395, 790

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

397 : 1, 397

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,790,770,397, is 1.

Now, the common factors can be found like this.

214:2x 107

790:2x 5x 79

770:2x 5x 7x 11

397:397

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 5 = 20

Therefore, the value for common factors is 20.

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 = 51679951400/(1x20)

LCM = 51679951400/20

LCM = 2583997570

Thus, we can understand that the LCM of 214,790,770,397 is 2583997570.

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

• LCM of 156, 444, 339, 227
• LCM of 944, 984, 103, 481
• LCM of 377, 674, 794, 782
• LCM of 709, 317, 419, 390
• LCM of 119, 825, 743, 780

1. What is the LCM of 214, 790, 770, 397?

Answer: LCM of 214, 790, 770, 397 is 2583997570.

2. How to calculate the LCM of 214, 790, 770, 397?

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, 790, 770, 397.

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}.