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LCM of 601, 514, 586, 544

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


Find the LCM of 601, 514, 586, 544 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 601, 514, 586, 544. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 601,514,586,544

Given numbers are 601,514,586,544

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

The LCM of 601,514,586,544 is 24619210144.

Find LCM of 601,514,586,544 with Prime Factorization


2 601, 514, 586, 544
601, 257, 293, 272

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

2 x 601 x 257 x 293 x 272 = 24619210144

Therefore, the lowest common multiple of 601,514,586,544 is 24619210144.

LCM Formula to Find Lowest Common Multiple of 601,514,586,544

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.

601 x 514 x 586 x 544 = 98476840576

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.

601 : 1, 601

514 : 1, 2, 257, 514

586 : 1, 2, 293, 586

544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 601,514,586,544, is 1.

Now, the common factors can be found like this.

601:601

514:2x 257

586:2x 293

544:2x 2x 2x 2x 2x 17

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 = 98476840576/(1x4)

LCM = 98476840576/4

LCM = 24619210144

Thus, we can understand that the LCM of 601,514,586,544 is 24619210144.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 601, 514, 586, 544

1. What is the LCM of 601, 514, 586, 544?

Answer: LCM of 601, 514, 586, 544 is 24619210144.

2. How to calculate the LCM of 601, 514, 586, 544?

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 601, 514, 586, 544.

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}.