Given numbers are 331,566,403,600,720

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

The LCM of 331,566,403,600,720 is 135900788400.

Find LCM of 331,566,403,600,720 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 331 x 283 x 403 x 5 x 6 = 135900788400

Therefore, the lowest common multiple of 331,566,403,600,720 is 135900788400.

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.

331 x 566 x 403 x 600 x 720 = 32616189216000

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.

331 : 1, 331

566 : 1, 2, 283, 566

403 : 1, 13, 31, 403

600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 331,566,403,600,720, is 1.

Now, the common factors can be found like this.

331:331

566:2x 283

403:13x 31

600:2x 2x 2x 3x 5x 5

720:2x 2x 2x 2x 3x 3x 5

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 5 = 240

Therefore, the value for common factors is 240.

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 = 32616189216000/(1x240)

LCM = 32616189216000/240

LCM = 135900788400

Thus, we can understand that the LCM of 331,566,403,600,720 is 135900788400.

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

• LCM of 435, 181, 828, 527, 724
• LCM of 209, 931, 548, 563, 143
• LCM of 427, 307, 499, 971, 467
• LCM of 289, 951, 491, 401, 642
• LCM of 685, 349, 746, 725, 835

1. What is the LCM of 331, 566, 403, 600, 720?

Answer: LCM of 331, 566, 403, 600, 720 is 135900788400.

2. How to calculate the LCM of 331, 566, 403, 600, 720?

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 331, 566, 403, 600, 720.

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}.