Given numbers are 382,487,419,410,764

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

The LCM of 382,487,419,410,764 is 31958780860.

Find LCM of 382,487,419,410,764 with Prime Factorization

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

2 x 191 x 1 x 487 x 419 x 205 x 2 = 31958780860

Therefore, the lowest common multiple of 382,487,419,410,764 is 31958780860.

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.

382 x 487 x 419 x 410 x 764 = 24416508577040

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.

382 : 1, 2, 191, 382

487 : 1, 487

419 : 1, 419

410 : 1, 2, 5, 10, 41, 82, 205, 410

764 : 1, 2, 4, 191, 382, 764

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,487,419,410,764, is 1.

Now, the common factors can be found like this.

382:2x 191

487:487

419:419

410:2x 5x 41

764:2x 2x 191

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

2x 2x 191 = 764

Therefore, the value for common factors is 764.

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 = 24416508577040/(1x764)

LCM = 24416508577040/764

LCM = 31958780860

Thus, we can understand that the LCM of 382,487,419,410,764 is 31958780860.

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

• LCM of 415, 345, 895, 542, 278
• LCM of 362, 977, 318, 335, 589
• LCM of 630, 452, 942, 615, 754
• LCM of 335, 454, 827, 766, 720
• LCM of 534, 805, 462, 152, 501

1. What is the LCM of 382, 487, 419, 410, 764?

Answer: LCM of 382, 487, 419, 410, 764 is 31958780860.

2. How to calculate the LCM of 382, 487, 419, 410, 764?

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 382, 487, 419, 410, 764.

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}.