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LCM of 824, 341, 538, 473, 791

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


Find the LCM of 824, 341, 538, 473, 791 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 824, 341, 538, 473, 791. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 824,341,538,473,791

Given numbers are 824,341,538,473,791

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

The LCM of 824,341,538,473,791 is 2570862265048.

Find LCM of 824,341,538,473,791 with Prime Factorization


2 824, 341, 538, 473, 791
11 412, 341, 269, 473, 791
412, 31, 269, 43, 791

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

2 x 11 x 412 x 31 x 269 x 43 x 791 = 2570862265048

Therefore, the lowest common multiple of 824,341,538,473,791 is 2570862265048.

LCM Formula to Find Lowest Common Multiple of 824,341,538,473,791

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.

824 x 341 x 538 x 473 x 791 = 56558969831056

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.

824 : 1, 2, 4, 8, 103, 206, 412, 824

341 : 1, 11, 31, 341

538 : 1, 2, 269, 538

473 : 1, 11, 43, 473

791 : 1, 7, 113, 791

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,341,538,473,791, is 1.

Now, the common factors can be found like this.

824:2x 2x 2x 103

341:11x 31

538:2x 269

473:11x 43

791:7x 113

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 56558969831056/(1x22)

LCM = 56558969831056/22

LCM = 2570862265048

Thus, we can understand that the LCM of 824,341,538,473,791 is 2570862265048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 824, 341, 538, 473, 791

1. What is the LCM of 824, 341, 538, 473, 791?

Answer: LCM of 824, 341, 538, 473, 791 is 2570862265048.

2. How to calculate the LCM of 824, 341, 538, 473, 791?

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 824, 341, 538, 473, 791.

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}.