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LCM of 542, 941, 310, 257, 579

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


Find the LCM of 542, 941, 310, 257, 579 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 542, 941, 310, 257, 579. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 542,941,310,257,579

Given numbers are 542,941,310,257,579

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

The LCM of 542,941,310,257,579 is 11763384568230.

Find LCM of 542,941,310,257,579 with Prime Factorization


2 542, 941, 310, 257, 579
271, 941, 155, 257, 579

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

2 x 271 x 941 x 155 x 257 x 579 = 11763384568230

Therefore, the lowest common multiple of 542,941,310,257,579 is 11763384568230.

LCM Formula to Find Lowest Common Multiple of 542,941,310,257,579

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.

542 x 941 x 310 x 257 x 579 = 23526769136460

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.

542 : 1, 2, 271, 542

941 : 1, 941

310 : 1, 2, 5, 10, 31, 62, 155, 310

257 : 1, 257

579 : 1, 3, 193, 579

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 542,941,310,257,579, is 1.

Now, the common factors can be found like this.

542:2x 271

941:941

310:2x 5x 31

257:257

579:3x 193

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 = 23526769136460/(1x2)

LCM = 23526769136460/2

LCM = 11763384568230

Thus, we can understand that the LCM of 542,941,310,257,579 is 11763384568230.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 542, 941, 310, 257, 579

1. What is the LCM of 542, 941, 310, 257, 579?

Answer: LCM of 542, 941, 310, 257, 579 is 11763384568230.

2. How to calculate the LCM of 542, 941, 310, 257, 579?

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 542, 941, 310, 257, 579.

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}.