Given numbers are 819,873,403,160,114

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

The LCM of 819,873,403,160,114 is 7486708320.

Find LCM of 819,873,403,160,114 with Prime Factorization

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

2 x 3 x 3 x 13 x 7 x 97 x 31 x 80 x 19 = 7486708320

Therefore, the lowest common multiple of 819,873,403,160,114 is 7486708320.

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.

819 x 873 x 403 x 160 x 114 = 5255669240640

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.

819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

873 : 1, 3, 9, 97, 291, 873

403 : 1, 13, 31, 403

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 819,873,403,160,114, is 1.

Now, the common factors can be found like this.

819:3x 3x 7x 13

873:3x 3x 97

403:13x 31

160:2x 2x 2x 2x 2x 5

114:2x 3x 19

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 13 = 702

Therefore, the value for common factors is 702.

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 = 5255669240640/(1x702)

LCM = 5255669240640/702

LCM = 7486708320

Thus, we can understand that the LCM of 819,873,403,160,114 is 7486708320.

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

• LCM of 146, 131, 752, 778, 798
• LCM of 496, 608, 896, 116, 717
• LCM of 635, 445, 617, 721, 448
• LCM of 770, 419, 429, 361, 298
• LCM of 697, 593, 947, 186, 503

1. What is the LCM of 819, 873, 403, 160, 114?

Answer: LCM of 819, 873, 403, 160, 114 is 7486708320.

2. How to calculate the LCM of 819, 873, 403, 160, 114?

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 819, 873, 403, 160, 114.

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}.