Given numbers are 828,619,462,461,660

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

The LCM of 828,619,462,461,660 is 90966742020.

Find LCM of 828,619,462,461,660 with Prime Factorization

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

2 x 2 x 3 x 11 x 69 x 619 x 7 x 461 x 5 = 90966742020

Therefore, the lowest common multiple of 828,619,462,461,660 is 90966742020.

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.

828 x 619 x 462 x 461 x 660 = 72045659679840

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.

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

619 : 1, 619

462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

461 : 1, 461

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 828,619,462,461,660, is 1.

Now, the common factors can be found like this.

828:2x 2x 3x 3x 23

619:619

462:2x 3x 7x 11

461:461

660:2x 2x 3x 5x 11

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 3x 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 72045659679840/(1x792)

LCM = 72045659679840/792

LCM = 90966742020

Thus, we can understand that the LCM of 828,619,462,461,660 is 90966742020.

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

• LCM of 552, 931, 838, 230, 216
• LCM of 723, 528, 120, 418, 656
• LCM of 587, 679, 982, 673, 620
• LCM of 309, 377, 843, 953, 456
• LCM of 922, 428, 189, 419, 701

1. What is the LCM of 828, 619, 462, 461, 660?

Answer: LCM of 828, 619, 462, 461, 660 is 90966742020.

2. How to calculate the LCM of 828, 619, 462, 461, 660?

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 828, 619, 462, 461, 660.

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}.