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LCM of 341, 442, 124, 829

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


Find the LCM of 341, 442, 124, 829 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 341, 442, 124, 829. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,442,124,829

Given numbers are 341,442,124,829

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

The LCM of 341,442,124,829 is 249897076.

Find LCM of 341,442,124,829 with Prime Factorization


2 341, 442, 124, 829
31 341, 221, 62, 829
11, 221, 2, 829

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

2 x 31 x 11 x 221 x 2 x 829 = 249897076

Therefore, the lowest common multiple of 341,442,124,829 is 249897076.

LCM Formula to Find Lowest Common Multiple of 341,442,124,829

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.

341 x 442 x 124 x 829 = 15493618712

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.

341 : 1, 11, 31, 341

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

124 : 1, 2, 4, 31, 62, 124

829 : 1, 829

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,442,124,829, is 1.

Now, the common factors can be found like this.

341:11x 31

442:2x 13x 17

124:2x 2x 31

829:829

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 31 = 62

Therefore, the value for common factors is 62.

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 = 15493618712/(1x62)

LCM = 15493618712/62

LCM = 249897076

Thus, we can understand that the LCM of 341,442,124,829 is 249897076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 442, 124, 829

1. What is the LCM of 341, 442, 124, 829?

Answer: LCM of 341, 442, 124, 829 is 249897076.

2. How to calculate the LCM of 341, 442, 124, 829?

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 341, 442, 124, 829.

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}.