Given numbers are 769,338,382,228

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

The LCM of 769,338,382,228 is 5659541628.

Find LCM of 769,338,382,228 with Prime Factorization

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

2 x 769 x 169 x 191 x 114 = 5659541628

Therefore, the lowest common multiple of 769,338,382,228 is 5659541628.

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.

769 x 338 x 382 x 228 = 22638166512

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.

769 : 1, 769

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

382 : 1, 2, 191, 382

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,338,382,228, is 1.

Now, the common factors can be found like this.

769:769

338:2x 13x 13

382:2x 191

228:2x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 22638166512/(1x4)

LCM = 22638166512/4

LCM = 5659541628

Thus, we can understand that the LCM of 769,338,382,228 is 5659541628.

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

• LCM of 364, 816, 900, 925
• LCM of 431, 283, 707, 350
• LCM of 980, 391, 748, 638
• LCM of 423, 980, 883, 361
• LCM of 511, 248, 968, 404

1. What is the LCM of 769, 338, 382, 228?

Answer: LCM of 769, 338, 382, 228 is 5659541628.

2. How to calculate the LCM of 769, 338, 382, 228?

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 769, 338, 382, 228.

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}.