Given numbers are 261,903,900,720

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

The LCM of 261,903,900,720 is 31424400.

Find LCM of 261,903,900,720 with Prime Factorization

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

2 x 2 x 3 x 3 x 5 x 29 x 301 x 5 x 4 = 31424400

Therefore, the lowest common multiple of 261,903,900,720 is 31424400.

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.

261 x 903 x 900 x 720 = 152722584000

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.

261 : 1, 3, 9, 29, 87, 261

903 : 1, 3, 7, 21, 43, 129, 301, 903

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

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 261,903,900,720, is 3.

Now, the common factors can be found like this.

261:3x 3x 29

903:3x 7x 43

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

720:2x 2x 2x 2x 3x 3x 5

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 3x 3x 5 = 1620

Therefore, the value for common factors is 1620.

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 = 152722584000/(3x1620)

LCM = 152722584000/4860

LCM = 31424400

Thus, we can understand that the LCM of 261,903,900,720 is 31424400.

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

• LCM of 859, 533, 531, 741
• LCM of 801, 878, 148, 776
• LCM of 245, 403, 525, 323
• LCM of 700, 870, 657, 585
• LCM of 120, 856, 303, 724

1. What is the LCM of 261, 903, 900, 720?

Answer: LCM of 261, 903, 900, 720 is 31424400.

2. How to calculate the LCM of 261, 903, 900, 720?

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 261, 903, 900, 720.

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}.