Given numbers are 855,238,205,576,922

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

The LCM of 855,238,205,576,922 is 123077263680.

Find LCM of 855,238,205,576,922 with Prime Factorization

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

2 x 3 x 3 x 5 x 19 x 119 x 41 x 32 x 461 = 123077263680

Therefore, the lowest common multiple of 855,238,205,576,922 is 123077263680.

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.

855 x 238 x 205 x 576 x 922 = 22153907462400

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.

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

238 : 1, 2, 7, 14, 17, 34, 119, 238

205 : 1, 5, 41, 205

576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

922 : 1, 2, 461, 922

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,238,205,576,922, is 1.

Now, the common factors can be found like this.

855:3x 3x 5x 19

238:2x 7x 17

205:5x 41

576:2x 2x 2x 2x 2x 2x 3x 3

922:2x 461

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 5 = 180

Therefore, the value for common factors is 180.

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 = 22153907462400/(1x180)

LCM = 22153907462400/180

LCM = 123077263680

Thus, we can understand that the LCM of 855,238,205,576,922 is 123077263680.

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

• LCM of 222, 584, 387, 680, 253
• LCM of 941, 959, 896, 629, 454
• LCM of 236, 306, 892, 932, 222
• LCM of 750, 582, 294, 595, 942
• LCM of 105, 549, 598, 365, 416

1. What is the LCM of 855, 238, 205, 576, 922?

Answer: LCM of 855, 238, 205, 576, 922 is 123077263680.

2. How to calculate the LCM of 855, 238, 205, 576, 922?

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 855, 238, 205, 576, 922.

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}.