Given numbers are 984,110,489,141,774

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

The LCM of 984,110,489,141,774 is 53485118280.

Find LCM of 984,110,489,141,774 with Prime Factorization

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

2 x 3 x 164 x 55 x 163 x 47 x 129 = 53485118280

Therefore, the lowest common multiple of 984,110,489,141,774 is 53485118280.

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.

984 x 110 x 489 x 141 x 774 = 5776392774240

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.

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

110 : 1, 2, 5, 10, 11, 22, 55, 110

489 : 1, 3, 163, 489

141 : 1, 3, 47, 141

774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 984,110,489,141,774, is 1.

Now, the common factors can be found like this.

984:2x 2x 2x 3x 41

110:2x 5x 11

489:3x 163

141:3x 47

774:2x 3x 3x 43

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 3 = 108

Therefore, the value for common factors is 108.

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 = 5776392774240/(1x108)

LCM = 5776392774240/108

LCM = 53485118280

Thus, we can understand that the LCM of 984,110,489,141,774 is 53485118280.

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

• LCM of 542, 345, 738, 618, 765
• LCM of 262, 356, 399, 532, 957
• LCM of 137, 123, 168, 801, 644
• LCM of 429, 814, 374, 391, 718
• LCM of 484, 102, 389, 856, 521

1. What is the LCM of 984, 110, 489, 141, 774?

Answer: LCM of 984, 110, 489, 141, 774 is 53485118280.

2. How to calculate the LCM of 984, 110, 489, 141, 774?

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 984, 110, 489, 141, 774.

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}.