Given numbers are 352,256,489,497,891

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

The LCM of 352,256,489,497,891 is 18478285056.

Find LCM of 352,256,489,497,891 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 3 x 11 x 1 x 8 x 163 x 497 x 27 = 18478285056

Therefore, the lowest common multiple of 352,256,489,497,891 is 18478285056.

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.

352 x 256 x 489 x 497 x 891 = 19513069019136

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.

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

489 : 1, 3, 163, 489

497 : 1, 7, 71, 497

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,256,489,497,891, is 1.

Now, the common factors can be found like this.

352:2x 2x 2x 2x 2x 11

256:2x 2x 2x 2x 2x 2x 2x 2

489:3x 163

497:7x 71

891:3x 3x 3x 3x 11

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 3x 11 = 1056

Therefore, the value for common factors is 1056.

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 = 19513069019136/(1x1056)

LCM = 19513069019136/1056

LCM = 18478285056

Thus, we can understand that the LCM of 352,256,489,497,891 is 18478285056.

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

• LCM of 132, 753, 556, 309, 453
• LCM of 376, 341, 375, 763, 297
• LCM of 581, 453, 103, 291, 928
• LCM of 461, 862, 787, 300, 254
• LCM of 671, 921, 916, 806, 690

1. What is the LCM of 352, 256, 489, 497, 891?

Answer: LCM of 352, 256, 489, 497, 891 is 18478285056.

2. How to calculate the LCM of 352, 256, 489, 497, 891?

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 352, 256, 489, 497, 891.

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}.