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LCM of 605, 914, 146, 391, 339

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


Find the LCM of 605, 914, 146, 391, 339 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, 914, 146, 391, 339. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 605,914,146,391,339

Given numbers are 605,914,146,391,339

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

The LCM of 605,914,146,391,339 is 5350580298690.

Find LCM of 605,914,146,391,339 with Prime Factorization


2 605, 914, 146, 391, 339
605, 457, 73, 391, 339

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

2 x 605 x 457 x 73 x 391 x 339 = 5350580298690

Therefore, the lowest common multiple of 605,914,146,391,339 is 5350580298690.

LCM Formula to Find Lowest Common Multiple of 605,914,146,391,339

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 914 x 146 x 391 x 339 = 10701160597380

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

914 : 1, 2, 457, 914

146 : 1, 2, 73, 146

391 : 1, 17, 23, 391

339 : 1, 3, 113, 339

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,914,146,391,339, is 1.

Now, the common factors can be found like this.

605:5x 11x 11

914:2x 457

146:2x 73

391:17x 23

339:3x 113

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 = 10701160597380/(1x2)

LCM = 10701160597380/2

LCM = 5350580298690

Thus, we can understand that the LCM of 605,914,146,391,339 is 5350580298690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 605, 914, 146, 391, 339

1. What is the LCM of 605, 914, 146, 391, 339?

Answer: LCM of 605, 914, 146, 391, 339 is 5350580298690.

2. How to calculate the LCM of 605, 914, 146, 391, 339?

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, 914, 146, 391, 339.

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}.