Given numbers are 690,900,331,353,447

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

The LCM of 690,900,331,353,447 is 360378864900.

Find LCM of 690,900,331,353,447 with Prime Factorization

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

2 x 3 x 5 x 23 x 30 x 331 x 353 x 149 = 360378864900

Therefore, the lowest common multiple of 690,900,331,353,447 is 360378864900.

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.

690 x 900 x 331 x 353 x 447 = 32434097841000

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.

690 : 1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

331 : 1, 331

353 : 1, 353

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 690,900,331,353,447, is 1.

Now, the common factors can be found like this.

690:2x 3x 5x 23

900:2x 2x 3x 3x 5x 5

331:331

353:353

447:3x 149

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

2x 3x 3x 5 = 90

Therefore, the value for common factors is 90.

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 = 32434097841000/(1x90)

LCM = 32434097841000/90

LCM = 360378864900

Thus, we can understand that the LCM of 690,900,331,353,447 is 360378864900.

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

• LCM of 683, 172, 946, 704, 360
• LCM of 177, 137, 968, 900, 303
• LCM of 128, 956, 789, 790, 722
• LCM of 577, 491, 826, 701, 690
• LCM of 641, 848, 188, 491, 378

1. What is the LCM of 690, 900, 331, 353, 447?

Answer: LCM of 690, 900, 331, 353, 447 is 360378864900.

2. How to calculate the LCM of 690, 900, 331, 353, 447?

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 690, 900, 331, 353, 447.

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}.