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LCM of 605, 311, 622, 417

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 605, 311, 622, 417 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 605, 311, 622, 417. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,311,622,417

Given numbers are 605,311,622,417

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

The LCM of 605,311,622,417 is 156921270.

Find LCM of 605,311,622,417 with Prime Factorization


311 605, 311, 622, 417
605, 1, 2, 417

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

311 x 605 x 1 x 2 x 417 = 156921270

Therefore, the lowest common multiple of 605,311,622,417 is 156921270.

LCM Formula to Find Lowest Common Multiple of 605,311,622,417

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.

605 x 311 x 622 x 417 = 48802514970

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.

605 : 1, 5, 11, 55, 121, 605

311 : 1, 311

622 : 1, 2, 311, 622

417 : 1, 3, 139, 417

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,311,622,417, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

311:311

622:2x 311

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.

311 = 311

Therefore, the value for common factors is 311.

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 = 48802514970/(1x311)

LCM = 48802514970/311

LCM = 156921270

Thus, we can understand that the LCM of 605,311,622,417 is 156921270.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 311, 622, 417

1. What is the LCM of 605, 311, 622, 417?

Answer: LCM of 605, 311, 622, 417 is 156921270.

2. How to calculate the LCM of 605, 311, 622, 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 605, 311, 622, 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}.