Given numbers are 675,412,922,331,553

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

The LCM of 675,412,922,331,553 is 23466863076300.

Find LCM of 675,412,922,331,553 with Prime Factorization

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

2 x 675 x 206 x 461 x 331 x 553 = 23466863076300

Therefore, the lowest common multiple of 675,412,922,331,553 is 23466863076300.

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.

675 x 412 x 922 x 331 x 553 = 46933726152600

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.

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

412 : 1, 2, 4, 103, 206, 412

922 : 1, 2, 461, 922

331 : 1, 331

553 : 1, 7, 79, 553

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 675,412,922,331,553, is 1.

Now, the common factors can be found like this.

675:3x 3x 3x 5x 5

412:2x 2x 103

922:2x 461

331:331

553:7x 79

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

2 = 2

Therefore, the value for common factors is 2.

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 = 46933726152600/(1x2)

LCM = 46933726152600/2

LCM = 23466863076300

Thus, we can understand that the LCM of 675,412,922,331,553 is 23466863076300.

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

• LCM of 546, 443, 849, 519, 773
• LCM of 487, 179, 909, 119, 167
• LCM of 274, 417, 407, 729, 981
• LCM of 516, 203, 700, 806, 892
• LCM of 701, 308, 202, 171, 102

1. What is the LCM of 675, 412, 922, 331, 553?

Answer: LCM of 675, 412, 922, 331, 553 is 23466863076300.

2. How to calculate the LCM of 675, 412, 922, 331, 553?

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 675, 412, 922, 331, 553.

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}.