Given numbers are 306,466,590,206,372

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

The LCM of 306,466,590,206,372 is 134316163260.

Find LCM of 306,466,590,206,372 with Prime Factorization

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

2 x 3 x 51 x 233 x 295 x 103 x 62 = 134316163260

Therefore, the lowest common multiple of 306,466,590,206,372 is 134316163260.

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.

306 x 466 x 590 x 206 x 372 = 6447175836480

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.

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

466 : 1, 2, 233, 466

590 : 1, 2, 5, 10, 59, 118, 295, 590

206 : 1, 2, 103, 206

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,466,590,206,372, is 2.

Now, the common factors can be found like this.

306:2x 3x 3x 17

466:2x 233

590:2x 5x 59

206:2x 103

372:2x 2x 3x 31

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 3 = 24

Therefore, the value for common factors is 24.

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 = 6447175836480/(2x24)

LCM = 6447175836480/48

LCM = 134316163260

Thus, we can understand that the LCM of 306,466,590,206,372 is 134316163260.

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

• LCM of 725, 693, 677, 894, 134
• LCM of 650, 335, 402, 363, 767
• LCM of 492, 378, 514, 690, 793
• LCM of 481, 107, 825, 592, 958
• LCM of 208, 174, 212, 617, 728

1. What is the LCM of 306, 466, 590, 206, 372?

Answer: LCM of 306, 466, 590, 206, 372 is 134316163260.

2. How to calculate the LCM of 306, 466, 590, 206, 372?

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 306, 466, 590, 206, 372.

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}.