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LCM of 297, 671, 838, 635, 401

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


Find the LCM of 297, 671, 838, 635, 401 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 297, 671, 838, 635, 401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 297,671,838,635,401

Given numbers are 297,671,838,635,401

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

The LCM of 297,671,838,635,401 is 3865880283210.

Find LCM of 297,671,838,635,401 with Prime Factorization


11 297, 671, 838, 635, 401
27, 61, 838, 635, 401

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

11 x 27 x 61 x 838 x 635 x 401 = 3865880283210

Therefore, the lowest common multiple of 297,671,838,635,401 is 3865880283210.

LCM Formula to Find Lowest Common Multiple of 297,671,838,635,401

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.

297 x 671 x 838 x 635 x 401 = 42524683115310

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.

297 : 1, 3, 9, 11, 27, 33, 99, 297

671 : 1, 11, 61, 671

838 : 1, 2, 419, 838

635 : 1, 5, 127, 635

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 297,671,838,635,401, is 1.

Now, the common factors can be found like this.

297:3x 3x 3x 11

671:11x 61

838:2x 419

635:5x 127

401:401

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

11 = 11

Therefore, the value for common factors is 11.

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 = 42524683115310/(1x11)

LCM = 42524683115310/11

LCM = 3865880283210

Thus, we can understand that the LCM of 297,671,838,635,401 is 3865880283210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 297, 671, 838, 635, 401

1. What is the LCM of 297, 671, 838, 635, 401?

Answer: LCM of 297, 671, 838, 635, 401 is 3865880283210.

2. How to calculate the LCM of 297, 671, 838, 635, 401?

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 297, 671, 838, 635, 401.

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}.