Given numbers are 122,361,133,468

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

The LCM of 122,361,133,468 is 72140796.

Find LCM of 122,361,133,468 with Prime Factorization

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

2 x 19 x 61 x 19 x 7 x 234 = 72140796

Therefore, the lowest common multiple of 122,361,133,468 is 72140796.

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 361 x 133 x 468 = 2741350248

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

361 : 1, 19, 361

133 : 1, 7, 19, 133

468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,361,133,468, is 1.

Now, the common factors can be found like this.

122:2x 61

361:19x 19

133:7x 19

468:2x 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 19 = 38

Therefore, the value for common factors is 38.

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 = 2741350248/(1x38)

LCM = 2741350248/38

LCM = 72140796

Thus, we can understand that the LCM of 122,361,133,468 is 72140796.

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

• LCM of 392, 692, 129, 390
• LCM of 132, 700, 795, 587
• LCM of 212, 590, 749, 902
• LCM of 745, 530, 111, 742
• LCM of 647, 816, 218, 184

1. What is the LCM of 122, 361, 133, 468?

Answer: LCM of 122, 361, 133, 468 is 72140796.

2. How to calculate the LCM of 122, 361, 133, 468?

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, 361, 133, 468.

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}.