Given numbers are 107,338,283,728

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

The LCM of 107,338,283,728 is 286579384.

Find LCM of 107,338,283,728 with Prime Factorization

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

2 x 13 x 107 x 13 x 283 x 28 = 286579384

Therefore, the lowest common multiple of 107,338,283,728 is 286579384.

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.

107 x 338 x 283 x 728 = 7451063984

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.

107 : 1, 107

338 : 1, 2, 13, 26, 169, 338

283 : 1, 283

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,338,283,728, is 1.

Now, the common factors can be found like this.

107:107

338:2x 13x 13

283:283

728:2x 2x 2x 7x 13

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 7451063984/(1x26)

LCM = 7451063984/26

LCM = 286579384

Thus, we can understand that the LCM of 107,338,283,728 is 286579384.

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

• LCM of 107, 707, 732, 798
• LCM of 515, 522, 578, 663
• LCM of 465, 554, 875, 852
• LCM of 832, 764, 984, 441
• LCM of 485, 291, 727, 565

1. What is the LCM of 107, 338, 283, 728?

Answer: LCM of 107, 338, 283, 728 is 286579384.

2. How to calculate the LCM of 107, 338, 283, 728?

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 107, 338, 283, 728.

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}.