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LCM of 391, 596, 442, 822

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


Find the LCM of 391, 596, 442, 822 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 391, 596, 442, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 391,596,442,822

Given numbers are 391,596,442,822

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

The LCM of 391,596,442,822 is 1245111348.

Find LCM of 391,596,442,822 with Prime Factorization


2 391, 596, 442, 822
17 391, 298, 221, 411
23, 298, 13, 411

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

2 x 17 x 23 x 298 x 13 x 411 = 1245111348

Therefore, the lowest common multiple of 391,596,442,822 is 1245111348.

LCM Formula to Find Lowest Common Multiple of 391,596,442,822

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.

391 x 596 x 442 x 822 = 84667571664

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.

391 : 1, 17, 23, 391

596 : 1, 2, 4, 149, 298, 596

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

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,596,442,822, is 1.

Now, the common factors can be found like this.

391:17x 23

596:2x 2x 149

442:2x 13x 17

822:2x 3x 137

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 17 = 68

Therefore, the value for common factors is 68.

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 = 84667571664/(1x68)

LCM = 84667571664/68

LCM = 1245111348

Thus, we can understand that the LCM of 391,596,442,822 is 1245111348.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 391, 596, 442, 822

1. What is the LCM of 391, 596, 442, 822?

Answer: LCM of 391, 596, 442, 822 is 1245111348.

2. How to calculate the LCM of 391, 596, 442, 822?

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 391, 596, 442, 822.

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}.