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LCM of 411, 841, 372, 696, 354

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


Find the LCM of 411, 841, 372, 696, 354 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 411, 841, 372, 696, 354. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 411,841,372,696,354

Given numbers are 411,841,372,696,354

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

The LCM of 411,841,372,696,354 is 5057565432.

Find LCM of 411,841,372,696,354 with Prime Factorization


2 411, 841, 372, 696, 354
2 411, 841, 186, 348, 177
3 411, 841, 93, 174, 177
29 137, 841, 31, 58, 59
137, 29, 31, 2, 59

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

2 x 2 x 3 x 29 x 137 x 29 x 31 x 2 x 59 = 5057565432

Therefore, the lowest common multiple of 411,841,372,696,354 is 5057565432.

LCM Formula to Find Lowest Common Multiple of 411,841,372,696,354

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.

411 x 841 x 372 x 696 x 354 = 31680589866048

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.

411 : 1, 3, 137, 411

841 : 1, 29, 841

372 : 1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

354 : 1, 2, 3, 6, 59, 118, 177, 354

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 411,841,372,696,354, is 1.

Now, the common factors can be found like this.

411:3x 137

841:29x 29

372:2x 2x 3x 31

696:2x 2x 2x 3x 29

354:2x 3x 59

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 3x 3x 3x 29 = 6264

Therefore, the value for common factors is 6264.

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 = 31680589866048/(1x6264)

LCM = 31680589866048/6264

LCM = 5057565432

Thus, we can understand that the LCM of 411,841,372,696,354 is 5057565432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 411, 841, 372, 696, 354

1. What is the LCM of 411, 841, 372, 696, 354?

Answer: LCM of 411, 841, 372, 696, 354 is 5057565432.

2. How to calculate the LCM of 411, 841, 372, 696, 354?

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 411, 841, 372, 696, 354.

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}.