Given numbers are 894,194,984,228,498

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

The LCM of 894,194,984,228,498 is 22427702904.

Find LCM of 894,194,984,228,498 with Prime Factorization

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

2 x 2 x 3 x 149 x 97 x 82 x 19 x 83 = 22427702904

Therefore, the lowest common multiple of 894,194,984,228,498 is 22427702904.

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.

894 x 194 x 984 x 228 x 498 = 19377535309056

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.

894 : 1, 2, 3, 6, 149, 298, 447, 894

194 : 1, 2, 97, 194

984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

498 : 1, 2, 3, 6, 83, 166, 249, 498

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,194,984,228,498, is 2.

Now, the common factors can be found like this.

894:2x 3x 149

194:2x 97

984:2x 2x 2x 3x 41

228:2x 2x 3x 19

498:2x 3x 83

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 3 = 432

Therefore, the value for common factors is 432.

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 = 19377535309056/(2x432)

LCM = 19377535309056/864

LCM = 22427702904

Thus, we can understand that the LCM of 894,194,984,228,498 is 22427702904.

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

• LCM of 518, 767, 709, 728, 480
• LCM of 198, 211, 380, 766, 956
• LCM of 285, 357, 558, 249, 519
• LCM of 505, 552, 152, 340, 233
• LCM of 152, 853, 100, 661, 528

1. What is the LCM of 894, 194, 984, 228, 498?

Answer: LCM of 894, 194, 984, 228, 498 is 22427702904.

2. How to calculate the LCM of 894, 194, 984, 228, 498?

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 894, 194, 984, 228, 498.

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}.