Given numbers are 772,258,720,304,345

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

The LCM of 772,258,720,304,345 is 2611197360.

Find LCM of 772,258,720,304,345 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 5 x 193 x 43 x 3 x 19 x 23 = 2611197360

Therefore, the lowest common multiple of 772,258,720,304,345 is 2611197360.

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.

772 x 258 x 720 x 304 x 345 = 15040496793600

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.

772 : 1, 2, 4, 193, 386, 772

258 : 1, 2, 3, 6, 43, 86, 129, 258

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

304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 772,258,720,304,345, is 1.

Now, the common factors can be found like this.

772:2x 2x 193

258:2x 3x 43

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

304:2x 2x 2x 2x 19

345:3x 5x 23

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 2x 2x 2x 3x 3x 5 = 5760

Therefore, the value for common factors is 5760.

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 = 15040496793600/(1x5760)

LCM = 15040496793600/5760

LCM = 2611197360

Thus, we can understand that the LCM of 772,258,720,304,345 is 2611197360.

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

• LCM of 147, 967, 284, 733, 499
• LCM of 363, 156, 416, 461, 435
• LCM of 530, 341, 433, 559, 406
• LCM of 363, 984, 759, 266, 310
• LCM of 765, 717, 925, 643, 828

1. What is the LCM of 772, 258, 720, 304, 345?

Answer: LCM of 772, 258, 720, 304, 345 is 2611197360.

2. How to calculate the LCM of 772, 258, 720, 304, 345?

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 772, 258, 720, 304, 345.

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}.