Given numbers are 876,208,225,867,920

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

The LCM of 876,208,225,867,920 is 22708810800.

Find LCM of 876,208,225,867,920 with Prime Factorization

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

2 x 2 x 2 x 3 x 5 x 73 x 26 x 15 x 289 x 23 = 22708810800

Therefore, the lowest common multiple of 876,208,225,867,920 is 22708810800.

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.

876 x 208 x 225 x 867 x 920 = 32700687552000

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.

876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208

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

867 : 1, 3, 17, 51, 289, 867

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 876,208,225,867,920, is 1.

Now, the common factors can be found like this.

876:2x 2x 3x 73

208:2x 2x 2x 2x 13

225:3x 3x 5x 5

867:3x 17x 17

920:2x 2x 2x 5x 23

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 2x 3x 3x 5 = 1440

Therefore, the value for common factors is 1440.

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 = 32700687552000/(1x1440)

LCM = 32700687552000/1440

LCM = 22708810800

Thus, we can understand that the LCM of 876,208,225,867,920 is 22708810800.

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

• LCM of 878, 264, 916, 962, 277
• LCM of 336, 147, 442, 189, 155
• LCM of 444, 429, 426, 467, 815
• LCM of 955, 297, 945, 148, 430
• LCM of 807, 532, 673, 770, 239

1. What is the LCM of 876, 208, 225, 867, 920?

Answer: LCM of 876, 208, 225, 867, 920 is 22708810800.

2. How to calculate the LCM of 876, 208, 225, 867, 920?

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 876, 208, 225, 867, 920.

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}.