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LCM of 541, 814, 301, 991, 504

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


Find the LCM of 541, 814, 301, 991, 504 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, 814, 301, 991, 504. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 541,814,301,991,504

Given numbers are 541,814,301,991,504

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

The LCM of 541,814,301,991,504 is 4728945630024.

Find LCM of 541,814,301,991,504 with Prime Factorization


2 541, 814, 301, 991, 504
7 541, 407, 301, 991, 252
541, 407, 43, 991, 36

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

2 x 7 x 541 x 407 x 43 x 991 x 36 = 4728945630024

Therefore, the lowest common multiple of 541,814,301,991,504 is 4728945630024.

LCM Formula to Find Lowest Common Multiple of 541,814,301,991,504

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 814 x 301 x 991 x 504 = 66205238820336

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

814 : 1, 2, 11, 22, 37, 74, 407, 814

301 : 1, 7, 43, 301

991 : 1, 991

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 541,814,301,991,504, is 1.

Now, the common factors can be found like this.

541:541

814:2x 11x 37

301:7x 43

991:991

504:2x 2x 2x 3x 3x 7

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 66205238820336/(1x14)

LCM = 66205238820336/14

LCM = 4728945630024

Thus, we can understand that the LCM of 541,814,301,991,504 is 4728945630024.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 541, 814, 301, 991, 504

1. What is the LCM of 541, 814, 301, 991, 504?

Answer: LCM of 541, 814, 301, 991, 504 is 4728945630024.

2. How to calculate the LCM of 541, 814, 301, 991, 504?

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, 814, 301, 991, 504.

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}.