Given numbers are 351,331,966,200,600

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

The LCM of 351,331,966,200,600 is 3741028200.

Find LCM of 351,331,966,200,600 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 5 x 117 x 331 x 161 x 1 x 1 = 3741028200

Therefore, the lowest common multiple of 351,331,966,200,600 is 3741028200.

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.

351 x 331 x 966 x 200 x 600 = 13467701520000

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.

351 : 1, 3, 9, 13, 27, 39, 117, 351

331 : 1, 331

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 351,331,966,200,600, is 1.

Now, the common factors can be found like this.

351:3x 3x 3x 13

331:331

966:2x 3x 7x 23

200:2x 2x 2x 5x 5

600:2x 2x 2x 3x 5x 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 3x 5x 5 = 3600

Therefore, the value for common factors is 3600.

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 = 13467701520000/(1x3600)

LCM = 13467701520000/3600

LCM = 3741028200

Thus, we can understand that the LCM of 351,331,966,200,600 is 3741028200.

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

• LCM of 544, 103, 704, 331, 184
• LCM of 851, 147, 522, 474, 384
• LCM of 358, 956, 158, 262, 546
• LCM of 958, 345, 996, 725, 344
• LCM of 416, 332, 894, 629, 937

1. What is the LCM of 351, 331, 966, 200, 600?

Answer: LCM of 351, 331, 966, 200, 600 is 3741028200.

2. How to calculate the LCM of 351, 331, 966, 200, 600?

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 351, 331, 966, 200, 600.

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}.