Given numbers are 347,122,311,428,417

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

The LCM of 347,122,311,428,417 is 1174896264012.

Find LCM of 347,122,311,428,417 with Prime Factorization

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

2 x 347 x 61 x 311 x 214 x 417 = 1174896264012

Therefore, the lowest common multiple of 347,122,311,428,417 is 1174896264012.

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.

347 x 122 x 311 x 428 x 417 = 2349792528024

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.

347 : 1, 347

122 : 1, 2, 61, 122

311 : 1, 311

428 : 1, 2, 4, 107, 214, 428

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 347,122,311,428,417, is 1.

Now, the common factors can be found like this.

347:347

122:2x 61

311:311

428:2x 2x 107

417:3x 139

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

2 = 2

Therefore, the value for common factors is 2.

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 = 2349792528024/(1x2)

LCM = 2349792528024/2

LCM = 1174896264012

Thus, we can understand that the LCM of 347,122,311,428,417 is 1174896264012.

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

• LCM of 809, 560, 464, 235, 117
• LCM of 540, 269, 725, 601, 801
• LCM of 800, 827, 346, 325, 425
• LCM of 352, 714, 512, 431, 284
• LCM of 490, 436, 288, 535, 946

1. What is the LCM of 347, 122, 311, 428, 417?

Answer: LCM of 347, 122, 311, 428, 417 is 1174896264012.

2. How to calculate the LCM of 347, 122, 311, 428, 417?

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 347, 122, 311, 428, 417.

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}.