Given numbers are 544,900,363,731,969

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

The LCM of 544,900,363,731,969 is 12100096800.

Find LCM of 544,900,363,731,969 with Prime Factorization

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

2 x 2 x 3 x 17 x 8 x 75 x 121 x 43 x 19 = 12100096800

Therefore, the lowest common multiple of 544,900,363,731,969 is 12100096800.

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.

544 x 900 x 363 x 731 x 969 = 125889407107200

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.

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

363 : 1, 3, 11, 33, 121, 363

731 : 1, 17, 43, 731

969 : 1, 3, 17, 19, 51, 57, 323, 969

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 544,900,363,731,969, is 1.

Now, the common factors can be found like this.

544:2x 2x 2x 2x 2x 17

900:2x 2x 3x 3x 5x 5

363:3x 11x 11

731:17x 43

969:3x 17x 19

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 17x 17 = 10404

Therefore, the value for common factors is 10404.

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 = 125889407107200/(1x10404)

LCM = 125889407107200/10404

LCM = 12100096800

Thus, we can understand that the LCM of 544,900,363,731,969 is 12100096800.

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

• LCM of 999, 172, 526, 404, 132
• LCM of 378, 122, 865, 369, 683
• LCM of 820, 103, 630, 191, 660
• LCM of 552, 143, 108, 270, 558
• LCM of 702, 630, 489, 404, 127

1. What is the LCM of 544, 900, 363, 731, 969?

Answer: LCM of 544, 900, 363, 731, 969 is 12100096800.

2. How to calculate the LCM of 544, 900, 363, 731, 969?

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 544, 900, 363, 731, 969.

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}.