Given numbers are 122,135,553,312

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

The LCM of 122,135,553,312 is 473611320.

Find LCM of 122,135,553,312 with Prime Factorization

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

2 x 3 x 61 x 45 x 553 x 52 = 473611320

Therefore, the lowest common multiple of 122,135,553,312 is 473611320.

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 135 x 553 x 312 = 2841667920

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

135 : 1, 3, 5, 9, 15, 27, 45, 135

553 : 1, 7, 79, 553

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,135,553,312, is 1.

Now, the common factors can be found like this.

122:2x 61

135:3x 3x 3x 5

553:7x 79

312:2x 2x 2x 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 3 = 6

Therefore, the value for common factors is 6.

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 = 2841667920/(1x6)

LCM = 2841667920/6

LCM = 473611320

Thus, we can understand that the LCM of 122,135,553,312 is 473611320.

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

• LCM of 171, 944, 409, 947
• LCM of 312, 256, 348, 449
• LCM of 742, 102, 301, 516
• LCM of 571, 567, 625, 184
• LCM of 751, 824, 845, 383

1. What is the LCM of 122, 135, 553, 312?

Answer: LCM of 122, 135, 553, 312 is 473611320.

2. How to calculate the LCM of 122, 135, 553, 312?

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, 135, 553, 312.

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}.