Given numbers are 122,298,356,414

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

The LCM of 122,298,356,414 is 669786588.

Find LCM of 122,298,356,414 with Prime Factorization

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

2 x 61 x 149 x 178 x 207 = 669786588

Therefore, the lowest common multiple of 122,298,356,414 is 669786588.

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 298 x 356 x 414 = 5358292704

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

298 : 1, 2, 149, 298

356 : 1, 2, 4, 89, 178, 356

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 122,298,356,414, is 2.

Now, the common factors can be found like this.

122:2x 61

298:2x 149

356:2x 2x 89

414:2x 3x 3x 23

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 5358292704/(2x4)

LCM = 5358292704/8

LCM = 669786588

Thus, we can understand that the LCM of 122,298,356,414 is 669786588.

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

• LCM of 758, 618, 587, 993
• LCM of 746, 645, 600, 727
• LCM of 861, 130, 672, 171
• LCM of 149, 491, 631, 810
• LCM of 841, 461, 924, 843

1. What is the LCM of 122, 298, 356, 414?

Answer: LCM of 122, 298, 356, 414 is 669786588.

2. How to calculate the LCM of 122, 298, 356, 414?

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, 298, 356, 414.

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}.