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LCM of 586, 332, 126, 562

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


Find the LCM of 586, 332, 126, 562 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, 332, 126, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,332,126,562

Given numbers are 586,332,126,562

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

The LCM of 586,332,126,562 is 1722077028.

Find LCM of 586,332,126,562 with Prime Factorization


2 586, 332, 126, 562
293, 166, 63, 281

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

2 x 293 x 166 x 63 x 281 = 1722077028

Therefore, the lowest common multiple of 586,332,126,562 is 1722077028.

LCM Formula to Find Lowest Common Multiple of 586,332,126,562

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 332 x 126 x 562 = 13776616224

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

332 : 1, 2, 4, 83, 166, 332

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,332,126,562, is 2.

Now, the common factors can be found like this.

586:2x 293

332:2x 2x 83

126:2x 3x 3x 7

562:2x 281

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 = 13776616224/(2x4)

LCM = 13776616224/8

LCM = 1722077028

Thus, we can understand that the LCM of 586,332,126,562 is 1722077028.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 332, 126, 562

1. What is the LCM of 586, 332, 126, 562?

Answer: LCM of 586, 332, 126, 562 is 1722077028.

2. How to calculate the LCM of 586, 332, 126, 562?

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, 332, 126, 562.

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}.