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LCM of 541, 381, 401, 635

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


Find the LCM of 541, 381, 401, 635 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 541, 381, 401, 635. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,381,401,635

Given numbers are 541,381,401,635

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

The LCM of 541,381,401,635 is 413272605.

Find LCM of 541,381,401,635 with Prime Factorization


127 541, 381, 401, 635
541, 3, 401, 5

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

127 x 541 x 3 x 401 x 5 = 413272605

Therefore, the lowest common multiple of 541,381,401,635 is 413272605.

LCM Formula to Find Lowest Common Multiple of 541,381,401,635

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.

541 x 381 x 401 x 635 = 52485620835

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.

541 : 1, 541

381 : 1, 3, 127, 381

401 : 1, 401

635 : 1, 5, 127, 635

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,381,401,635, is 1.

Now, the common factors can be found like this.

541:541

381:3x 127

401:401

635:5x 127

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

127 = 127

Therefore, the value for common factors is 127.

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 = 52485620835/(1x127)

LCM = 52485620835/127

LCM = 413272605

Thus, we can understand that the LCM of 541,381,401,635 is 413272605.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 381, 401, 635

1. What is the LCM of 541, 381, 401, 635?

Answer: LCM of 541, 381, 401, 635 is 413272605.

2. How to calculate the LCM of 541, 381, 401, 635?

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 541, 381, 401, 635.

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}.