Given numbers are 511,968,354,414,828

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

The LCM of 511,968,354,414,828 is 6041136024.

Find LCM of 511,968,354,414,828 with Prime Factorization

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

2 x 2 x 3 x 3 x 23 x 511 x 242 x 59 x 1 x 1 = 6041136024

Therefore, the lowest common multiple of 511,968,354,414,828 is 6041136024.

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.

511 x 968 x 354 x 414 x 828 = 60024727534464

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.

511 : 1, 7, 73, 511

968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

354 : 1, 2, 3, 6, 59, 118, 177, 354

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,968,354,414,828, is 1.

Now, the common factors can be found like this.

511:7x 73

968:2x 2x 2x 11x 11

354:2x 3x 59

414:2x 3x 3x 23

828:2x 2x 3x 3x 23

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 2x 2x 3x 3x 3x 23 = 9936

Therefore, the value for common factors is 9936.

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 = 60024727534464/(1x9936)

LCM = 60024727534464/9936

LCM = 6041136024

Thus, we can understand that the LCM of 511,968,354,414,828 is 6041136024.

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

• LCM of 914, 935, 188, 694, 346
• LCM of 830, 506, 466, 568, 164
• LCM of 461, 635, 618, 821, 406
• LCM of 444, 539, 997, 132, 477
• LCM of 168, 617, 382, 815, 434

1. What is the LCM of 511, 968, 354, 414, 828?

Answer: LCM of 511, 968, 354, 414, 828 is 6041136024.

2. How to calculate the LCM of 511, 968, 354, 414, 828?

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 511, 968, 354, 414, 828.

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}.