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LCM of 586, 894, 442, 240, 562

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


Find the LCM of 586, 894, 442, 240, 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, 894, 442, 240, 562. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 586,894,442,240,562

Given numbers are 586,894,442,240,562

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

The LCM of 586,894,442,240,562 is 650674405680.

Find LCM of 586,894,442,240,562 with Prime Factorization


2 586, 894, 442, 240, 562
3 293, 447, 221, 120, 281
293, 149, 221, 40, 281

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

2 x 3 x 293 x 149 x 221 x 40 x 281 = 650674405680

Therefore, the lowest common multiple of 586,894,442,240,562 is 650674405680.

LCM Formula to Find Lowest Common Multiple of 586,894,442,240,562

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 894 x 442 x 240 x 562 = 31232371472640

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

894 : 1, 2, 3, 6, 149, 298, 447, 894

442 : 1, 2, 13, 17, 26, 34, 221, 442

240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

562 : 1, 2, 281, 562

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 586,894,442,240,562, is 2.

Now, the common factors can be found like this.

586:2x 293

894:2x 3x 149

442:2x 13x 17

240:2x 2x 2x 2x 3x 5

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 2x 2x 3 = 24

Therefore, the value for common factors is 24.

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 = 31232371472640/(2x24)

LCM = 31232371472640/48

LCM = 650674405680

Thus, we can understand that the LCM of 586,894,442,240,562 is 650674405680.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 586, 894, 442, 240, 562

1. What is the LCM of 586, 894, 442, 240, 562?

Answer: LCM of 586, 894, 442, 240, 562 is 650674405680.

2. How to calculate the LCM of 586, 894, 442, 240, 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, 894, 442, 240, 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}.