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LCM of 835, 414, 431, 442

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


Find the LCM of 835, 414, 431, 442 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 835, 414, 431, 442. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 835,414,431,442

Given numbers are 835,414,431,442

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

The LCM of 835,414,431,442 is 32927318190.

Find LCM of 835,414,431,442 with Prime Factorization


2 835, 414, 431, 442
835, 207, 431, 221

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

2 x 835 x 207 x 431 x 221 = 32927318190

Therefore, the lowest common multiple of 835,414,431,442 is 32927318190.

LCM Formula to Find Lowest Common Multiple of 835,414,431,442

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.

835 x 414 x 431 x 442 = 65854636380

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.

835 : 1, 5, 167, 835

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

431 : 1, 431

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 835,414,431,442, is 1.

Now, the common factors can be found like this.

835:5x 167

414:2x 3x 3x 23

431:431

442:2x 13x 17

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 = 65854636380/(1x2)

LCM = 65854636380/2

LCM = 32927318190

Thus, we can understand that the LCM of 835,414,431,442 is 32927318190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 835, 414, 431, 442

1. What is the LCM of 835, 414, 431, 442?

Answer: LCM of 835, 414, 431, 442 is 32927318190.

2. How to calculate the LCM of 835, 414, 431, 442?

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 835, 414, 431, 442.

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}.