Given numbers are 301,268,678,579

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

The LCM of 301,268,678,579 is 5277865236.

Find LCM of 301,268,678,579 with Prime Factorization

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

2 x 3 x 301 x 134 x 113 x 193 = 5277865236

Therefore, the lowest common multiple of 301,268,678,579 is 5277865236.

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.

301 x 268 x 678 x 579 = 31667191416

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.

301 : 1, 7, 43, 301

268 : 1, 2, 4, 67, 134, 268

678 : 1, 2, 3, 6, 113, 226, 339, 678

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 301,268,678,579, is 1.

Now, the common factors can be found like this.

301:7x 43

268:2x 2x 67

678:2x 3x 113

579:3x 193

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 31667191416/(1x6)

LCM = 31667191416/6

LCM = 5277865236

Thus, we can understand that the LCM of 301,268,678,579 is 5277865236.

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

• LCM of 645, 414, 836, 357
• LCM of 836, 372, 605, 465
• LCM of 940, 417, 416, 918
• LCM of 392, 494, 517, 633
• LCM of 753, 911, 373, 886

1. What is the LCM of 301, 268, 678, 579?

Answer: LCM of 301, 268, 678, 579 is 5277865236.

2. How to calculate the LCM of 301, 268, 678, 579?

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 301, 268, 678, 579.

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}.