Given numbers are 225,408,157,990,910

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

The LCM of 225,408,157,990,910 is 4809004200.

Find LCM of 225,408,157,990,910 with Prime Factorization

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

2 x 3 x 3 x 5 x 5 x 68 x 157 x 11 x 91 = 4809004200

Therefore, the lowest common multiple of 225,408,157,990,910 is 4809004200.

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.

225 x 408 x 157 x 990 x 910 = 12984311340000

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

157 : 1, 157

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,408,157,990,910, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

408:2x 2x 2x 3x 17

157:157

990:2x 3x 3x 5x 11

910:2x 5x 7x 13

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 5x 5 = 2700

Therefore, the value for common factors is 2700.

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 = 12984311340000/(1x2700)

LCM = 12984311340000/2700

LCM = 4809004200

Thus, we can understand that the LCM of 225,408,157,990,910 is 4809004200.

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

• LCM of 266, 499, 145, 162, 505
• LCM of 749, 960, 644, 503, 141
• LCM of 736, 654, 884, 589, 551
• LCM of 628, 279, 410, 956, 167
• LCM of 946, 279, 577, 145, 111

1. What is the LCM of 225, 408, 157, 990, 910?

Answer: LCM of 225, 408, 157, 990, 910 is 4809004200.

2. How to calculate the LCM of 225, 408, 157, 990, 910?

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 225, 408, 157, 990, 910.

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}.