Given numbers are 596,407,377,380

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

The LCM of 596,407,377,380 is 8687716180.

Find LCM of 596,407,377,380 with Prime Factorization

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

2 x 2 x 149 x 407 x 377 x 95 = 8687716180

Therefore, the lowest common multiple of 596,407,377,380 is 8687716180.

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.

596 x 407 x 377 x 380 = 34750864720

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.

596 : 1, 2, 4, 149, 298, 596

407 : 1, 11, 37, 407

377 : 1, 13, 29, 377

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 596,407,377,380, is 1.

Now, the common factors can be found like this.

596:2x 2x 149

407:11x 37

377:13x 29

380:2x 2x 5x 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 = 34750864720/(1x4)

LCM = 34750864720/4

LCM = 8687716180

Thus, we can understand that the LCM of 596,407,377,380 is 8687716180.

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

• LCM of 547, 558, 331, 941
• LCM of 758, 664, 664, 283
• LCM of 656, 148, 965, 625
• LCM of 197, 158, 588, 320
• LCM of 218, 564, 933, 281

1. What is the LCM of 596, 407, 377, 380?

Answer: LCM of 596, 407, 377, 380 is 8687716180.

2. How to calculate the LCM of 596, 407, 377, 380?

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 596, 407, 377, 380.

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}.