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LCM of 586, 202, 542, 586, 552

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


Find the LCM of 586, 202, 542, 586, 552 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 586, 202, 542, 586, 552. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,202,542,586,552

Given numbers are 586,202,542,586,552

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

The LCM of 586,202,542,586,552 is 4426876056.

Find LCM of 586,202,542,586,552 with Prime Factorization


2 586, 202, 542, 586, 552
293 293, 101, 271, 293, 276
1, 101, 271, 1, 276

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

2 x 293 x 1 x 101 x 271 x 1 x 276 = 4426876056

Therefore, the lowest common multiple of 586,202,542,586,552 is 4426876056.

LCM Formula to Find Lowest Common Multiple of 586,202,542,586,552

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.

586 x 202 x 542 x 586 x 552 = 20753194950528

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.

586 : 1, 2, 293, 586

202 : 1, 2, 101, 202

542 : 1, 2, 271, 542

586 : 1, 2, 293, 586

552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,202,542,586,552, is 2.

Now, the common factors can be found like this.

586:2x 293

202:2x 101

542:2x 271

586:2x 293

552:2x 2x 2x 3x 23

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 2x 293 = 2344

Therefore, the value for common factors is 2344.

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 = 20753194950528/(2x2344)

LCM = 20753194950528/4688

LCM = 4426876056

Thus, we can understand that the LCM of 586,202,542,586,552 is 4426876056.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 202, 542, 586, 552

1. What is the LCM of 586, 202, 542, 586, 552?

Answer: LCM of 586, 202, 542, 586, 552 is 4426876056.

2. How to calculate the LCM of 586, 202, 542, 586, 552?

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 586, 202, 542, 586, 552.

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}.