Given numbers are 144,984,637,905,498

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

The LCM of 144,984,637,905,498 is 282496097520.

Find LCM of 144,984,637,905,498 with Prime Factorization

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

2 x 2 x 2 x 3 x 6 x 41 x 637 x 905 x 83 = 282496097520

Therefore, the lowest common multiple of 144,984,637,905,498 is 282496097520.

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.

144 x 984 x 637 x 905 x 498 = 40679438042880

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.

144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

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

637 : 1, 7, 13, 49, 91, 637

905 : 1, 5, 181, 905

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,984,637,905,498, is 1.

Now, the common factors can be found like this.

144:2x 2x 2x 2x 3x 3

984:2x 2x 2x 3x 41

637:7x 7x 13

905:5x 181

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 3 = 144

Therefore, the value for common factors is 144.

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 = 40679438042880/(1x144)

LCM = 40679438042880/144

LCM = 282496097520

Thus, we can understand that the LCM of 144,984,637,905,498 is 282496097520.

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

• LCM of 439, 447, 411, 854, 290
• LCM of 595, 866, 812, 431, 366
• LCM of 752, 953, 645, 911, 768
• LCM of 260, 706, 878, 642, 762
• LCM of 114, 693, 692, 677, 172

1. What is the LCM of 144, 984, 637, 905, 498?

Answer: LCM of 144, 984, 637, 905, 498 is 282496097520.

2. How to calculate the LCM of 144, 984, 637, 905, 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 144, 984, 637, 905, 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}.