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LCM of 605, 916, 590, 442, 327

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


Find the LCM of 605, 916, 590, 442, 327 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, 916, 590, 442, 327. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,916,590,442,327

Given numbers are 605,916,590,442,327

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

The LCM of 605,916,590,442,327 is 2362886637540.

Find LCM of 605,916,590,442,327 with Prime Factorization


2 605, 916, 590, 442, 327
5 605, 458, 295, 221, 327
121, 458, 59, 221, 327

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

2 x 5 x 121 x 458 x 59 x 221 x 327 = 2362886637540

Therefore, the lowest common multiple of 605,916,590,442,327 is 2362886637540.

LCM Formula to Find Lowest Common Multiple of 605,916,590,442,327

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 916 x 590 x 442 x 327 = 47257732750800

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

916 : 1, 2, 4, 229, 458, 916

590 : 1, 2, 5, 10, 59, 118, 295, 590

442 : 1, 2, 13, 17, 26, 34, 221, 442

327 : 1, 3, 109, 327

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,916,590,442,327, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

916:2x 2x 229

590:2x 5x 59

442:2x 13x 17

327:3x 109

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

2x 2x 5 = 20

Therefore, the value for common factors is 20.

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 = 47257732750800/(1x20)

LCM = 47257732750800/20

LCM = 2362886637540

Thus, we can understand that the LCM of 605,916,590,442,327 is 2362886637540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 916, 590, 442, 327

1. What is the LCM of 605, 916, 590, 442, 327?

Answer: LCM of 605, 916, 590, 442, 327 is 2362886637540.

2. How to calculate the LCM of 605, 916, 590, 442, 327?

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, 916, 590, 442, 327.

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}.