Given numbers are 298,167,720,324,306

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

The LCM of 298,167,720,324,306 is 2741111280.

Find LCM of 298,167,720,324,306 with Prime Factorization

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

2 x 2 x 3 x 3 x 149 x 167 x 20 x 9 x 17 = 2741111280

Therefore, the lowest common multiple of 298,167,720,324,306 is 2741111280.

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.

298 x 167 x 720 x 324 x 306 = 3552480218880

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.

298 : 1, 2, 149, 298

167 : 1, 167

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

324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

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 298,167,720,324,306, is 1.

Now, the common factors can be found like this.

298:2x 149

167:167

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

324:2x 2x 3x 3x 3x 3

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 2x 2x 3x 3x 3x 3 = 1296

Therefore, the value for common factors is 1296.

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 = 3552480218880/(1x1296)

LCM = 3552480218880/1296

LCM = 2741111280

Thus, we can understand that the LCM of 298,167,720,324,306 is 2741111280.

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

• LCM of 464, 985, 979, 656, 436
• LCM of 678, 762, 780, 283, 866
• LCM of 219, 305, 306, 832, 270
• LCM of 325, 397, 227, 226, 847
• LCM of 931, 273, 740, 572, 913

1. What is the LCM of 298, 167, 720, 324, 306?

Answer: LCM of 298, 167, 720, 324, 306 is 2741111280.

2. How to calculate the LCM of 298, 167, 720, 324, 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 298, 167, 720, 324, 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}.