Given numbers are 461,284,836,308,948

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

The LCM of 461,284,836,308,948 is 45395409444.

Find LCM of 461,284,836,308,948 with Prime Factorization

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

2 x 2 x 11 x 461 x 71 x 19 x 7 x 237 = 45395409444

Therefore, the lowest common multiple of 461,284,836,308,948 is 45395409444.

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.

461 x 284 x 836 x 308 x 948 = 31958368248576

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.

461 : 1, 461

284 : 1, 2, 4, 71, 142, 284

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 461,284,836,308,948, is 1.

Now, the common factors can be found like this.

461:461

284:2x 2x 71

836:2x 2x 11x 19

308:2x 2x 7x 11

948:2x 2x 3x 79

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 11 = 704

Therefore, the value for common factors is 704.

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 = 31958368248576/(1x704)

LCM = 31958368248576/704

LCM = 45395409444

Thus, we can understand that the LCM of 461,284,836,308,948 is 45395409444.

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

• LCM of 635, 218, 575, 931, 177
• LCM of 494, 734, 439, 711, 535
• LCM of 494, 381, 419, 152, 873
• LCM of 440, 908, 459, 972, 273
• LCM of 958, 614, 246, 565, 595

1. What is the LCM of 461, 284, 836, 308, 948?

Answer: LCM of 461, 284, 836, 308, 948 is 45395409444.

2. How to calculate the LCM of 461, 284, 836, 308, 948?

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 461, 284, 836, 308, 948.

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}.