Given numbers are 906,323,187,372,306

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

The LCM of 906,323,187,372,306 is 598737348.

Find LCM of 906,323,187,372,306 with Prime Factorization

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

2 x 3 x 17 x 151 x 19 x 11 x 62 x 3 = 598737348

Therefore, the lowest common multiple of 906,323,187,372,306 is 598737348.

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.

906 x 323 x 187 x 372 x 306 = 6229263368592

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.

906 : 1, 2, 3, 6, 151, 302, 453, 906

323 : 1, 17, 19, 323

187 : 1, 11, 17, 187

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,323,187,372,306, is 1.

Now, the common factors can be found like this.

906:2x 3x 151

323:17x 19

187:11x 17

372:2x 2x 3x 31

306:2x 3x 3x 17

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 3x 3x 17x 17 = 10404

Therefore, the value for common factors is 10404.

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 = 6229263368592/(1x10404)

LCM = 6229263368592/10404

LCM = 598737348

Thus, we can understand that the LCM of 906,323,187,372,306 is 598737348.

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

• LCM of 667, 258, 946, 697, 158
• LCM of 752, 600, 309, 152, 990
• LCM of 246, 825, 631, 155, 673
• LCM of 686, 856, 729, 922, 360
• LCM of 471, 979, 725, 799, 859

1. What is the LCM of 906, 323, 187, 372, 306?

Answer: LCM of 906, 323, 187, 372, 306 is 598737348.

2. How to calculate the LCM of 906, 323, 187, 372, 306?

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 906, 323, 187, 372, 306.

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}.