Given numbers are 122,293,561,810,480

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

The LCM of 122,293,561,810,480 is 43315572960.

Find LCM of 122,293,561,810,480 with Prime Factorization

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

2 x 3 x 5 x 61 x 293 x 187 x 27 x 16 = 43315572960

Therefore, the lowest common multiple of 122,293,561,810,480 is 43315572960.

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.

122 x 293 x 561 x 810 x 480 = 7796803132800

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.

122 : 1, 2, 61, 122

293 : 1, 293

561 : 1, 3, 11, 17, 33, 51, 187, 561

810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810

480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,293,561,810,480, is 1.

Now, the common factors can be found like this.

122:2x 61

293:293

561:3x 11x 17

810:2x 3x 3x 3x 3x 5

480:2x 2x 2x 2x 2x 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 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 = 7796803132800/(1x180)

LCM = 7796803132800/180

LCM = 43315572960

Thus, we can understand that the LCM of 122,293,561,810,480 is 43315572960.

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

• LCM of 973, 230, 567, 896, 744
• LCM of 414, 894, 918, 377, 244
• LCM of 833, 316, 198, 403, 890
• LCM of 381, 726, 935, 779, 636
• LCM of 500, 161, 906, 797, 581

1. What is the LCM of 122, 293, 561, 810, 480?

Answer: LCM of 122, 293, 561, 810, 480 is 43315572960.

2. How to calculate the LCM of 122, 293, 561, 810, 480?

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 122, 293, 561, 810, 480.

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}.