Given numbers are 930,819,312,228,682

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

The LCM of 930,819,312,228,682 is 212252040.

Find LCM of 930,819,312,228,682 with Prime Factorization

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

2 x 2 x 3 x 13 x 31 x 5 x 21 x 2 x 19 x 11 = 212252040

Therefore, the lowest common multiple of 930,819,312,228,682 is 212252040.

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.

930 x 819 x 312 x 228 x 682 = 36952231155840

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.

930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

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

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

682 : 1, 2, 11, 22, 31, 62, 341, 682

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 930,819,312,228,682, is 1.

Now, the common factors can be found like this.

930:2x 3x 5x 31

819:3x 3x 7x 13

312:2x 2x 2x 3x 13

228:2x 2x 3x 19

682:2x 11x 31

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 2x 3x 3x 3x 13x 31 = 174096

Therefore, the value for common factors is 174096.

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 = 36952231155840/(1x174096)

LCM = 36952231155840/174096

LCM = 212252040

Thus, we can understand that the LCM of 930,819,312,228,682 is 212252040.

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

• LCM of 582, 943, 102, 153, 346
• LCM of 710, 393, 274, 106, 511
• LCM of 683, 839, 995, 579, 681
• LCM of 197, 753, 569, 172, 406
• LCM of 966, 967, 757, 633, 418

1. What is the LCM of 930, 819, 312, 228, 682?

Answer: LCM of 930, 819, 312, 228, 682 is 212252040.

2. How to calculate the LCM of 930, 819, 312, 228, 682?

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 930, 819, 312, 228, 682.

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}.