Given numbers are 338,358,484,762

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

The LCM of 338,358,484,762 is 5578405404.

Find LCM of 338,358,484,762 with Prime Factorization

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

2 x 169 x 179 x 242 x 381 = 5578405404

Therefore, the lowest common multiple of 338,358,484,762 is 5578405404.

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.

338 x 358 x 484 x 762 = 44627243232

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.

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

358 : 1, 2, 179, 358

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

762 : 1, 2, 3, 6, 127, 254, 381, 762

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,358,484,762, is 2.

Now, the common factors can be found like this.

338:2x 13x 13

358:2x 179

484:2x 2x 11x 11

762:2x 3x 127

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 = 44627243232/(2x4)

LCM = 44627243232/8

LCM = 5578405404

Thus, we can understand that the LCM of 338,358,484,762 is 5578405404.

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

• LCM of 363, 301, 747, 336
• LCM of 807, 304, 824, 414
• LCM of 269, 142, 280, 767
• LCM of 967, 696, 703, 273
• LCM of 780, 714, 560, 957

1. What is the LCM of 338, 358, 484, 762?

Answer: LCM of 338, 358, 484, 762 is 5578405404.

2. How to calculate the LCM of 338, 358, 484, 762?

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 338, 358, 484, 762.

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}.