Given numbers are 770,810,349,214,166

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

The LCM of 770,810,349,214,166 is 193313881530.

Find LCM of 770,810,349,214,166 with Prime Factorization

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

2 x 5 x 77 x 81 x 349 x 107 x 83 = 193313881530

Therefore, the lowest common multiple of 770,810,349,214,166 is 193313881530.

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.

770 x 810 x 349 x 214 x 166 = 7732555261200

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.

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

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

349 : 1, 349

214 : 1, 2, 107, 214

166 : 1, 2, 83, 166

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,810,349,214,166, is 1.

Now, the common factors can be found like this.

770:2x 5x 7x 11

810:2x 3x 3x 3x 3x 5

349:349

214:2x 107

166:2x 83

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 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 7732555261200/(1x40)

LCM = 7732555261200/40

LCM = 193313881530

Thus, we can understand that the LCM of 770,810,349,214,166 is 193313881530.

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

• LCM of 156, 277, 650, 790, 682
• LCM of 707, 127, 225, 157, 990
• LCM of 294, 982, 571, 991, 573
• LCM of 826, 220, 678, 912, 133
• LCM of 719, 710, 623, 481, 606

1. What is the LCM of 770, 810, 349, 214, 166?

Answer: LCM of 770, 810, 349, 214, 166 is 193313881530.

2. How to calculate the LCM of 770, 810, 349, 214, 166?

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 770, 810, 349, 214, 166.

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}.