Given numbers are 390,922,456,327,273

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

The LCM of 390,922,456,327,273 is 10425662520.

Find LCM of 390,922,456,327,273 with Prime Factorization

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

2 x 3 x 13 x 5 x 461 x 76 x 109 x 7 = 10425662520

Therefore, the lowest common multiple of 390,922,456,327,273 is 10425662520.

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.

390 x 922 x 456 x 327 x 273 = 14637630178080

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.

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

922 : 1, 2, 461, 922

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

327 : 1, 3, 109, 327

273 : 1, 3, 7, 13, 21, 39, 91, 273

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,922,456,327,273, is 1.

Now, the common factors can be found like this.

390:2x 3x 5x 13

922:2x 461

456:2x 2x 2x 3x 19

327:3x 109

273:3x 7x 13

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 3x 13 = 1404

Therefore, the value for common factors is 1404.

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 = 14637630178080/(1x1404)

LCM = 14637630178080/1404

LCM = 10425662520

Thus, we can understand that the LCM of 390,922,456,327,273 is 10425662520.

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

• LCM of 325, 879, 300, 215, 754
• LCM of 456, 849, 366, 710, 181
• LCM of 605, 259, 400, 358, 407
• LCM of 811, 763, 753, 217, 593
• LCM of 606, 250, 273, 388, 618

1. What is the LCM of 390, 922, 456, 327, 273?

Answer: LCM of 390, 922, 456, 327, 273 is 10425662520.

2. How to calculate the LCM of 390, 922, 456, 327, 273?

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 390, 922, 456, 327, 273.

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}.