Given numbers are 122,380,912,772,234

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

The LCM of 122,380,912,772,234 is 2093710320.

Find LCM of 122,380,912,772,234 with Prime Factorization

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

2 x 2 x 3 x 19 x 61 x 5 x 4 x 193 x 39 = 2093710320

Therefore, the lowest common multiple of 122,380,912,772,234 is 2093710320.

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 380 x 912 x 772 x 234 = 7637855247360

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

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

772 : 1, 2, 4, 193, 386, 772

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,380,912,772,234, is 2.

Now, the common factors can be found like this.

122:2x 61

380:2x 2x 5x 19

912:2x 2x 2x 2x 3x 19

772:2x 2x 193

234:2x 3x 3x 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 2x 2x 2x 3x 19 = 1824

Therefore, the value for common factors is 1824.

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 = 7637855247360/(2x1824)

LCM = 7637855247360/3648

LCM = 2093710320

Thus, we can understand that the LCM of 122,380,912,772,234 is 2093710320.

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

• LCM of 320, 630, 903, 231, 589
• LCM of 705, 811, 865, 778, 764
• LCM of 312, 799, 235, 825, 577
• LCM of 650, 992, 237, 557, 534
• LCM of 867, 195, 328, 959, 829

1. What is the LCM of 122, 380, 912, 772, 234?

Answer: LCM of 122, 380, 912, 772, 234 is 2093710320.

2. How to calculate the LCM of 122, 380, 912, 772, 234?

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, 380, 912, 772, 234.

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}.