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LCM of 794, 162, 327, 411, 575

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


Find the LCM of 794, 162, 327, 411, 575 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 794, 162, 327, 411, 575. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,162,327,411,575

Given numbers are 794,162,327,411,575

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

The LCM of 794,162,327,411,575 is 552230553150.

Find LCM of 794,162,327,411,575 with Prime Factorization


2 794, 162, 327, 411, 575
3 397, 81, 327, 411, 575
397, 27, 109, 137, 575

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

2 x 3 x 397 x 27 x 109 x 137 x 575 = 552230553150

Therefore, the lowest common multiple of 794,162,327,411,575 is 552230553150.

LCM Formula to Find Lowest Common Multiple of 794,162,327,411,575

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.

794 x 162 x 327 x 411 x 575 = 9940149956700

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.

794 : 1, 2, 397, 794

162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

327 : 1, 3, 109, 327

411 : 1, 3, 137, 411

575 : 1, 5, 23, 25, 115, 575

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,162,327,411,575, is 1.

Now, the common factors can be found like this.

794:2x 397

162:2x 3x 3x 3x 3

327:3x 109

411:3x 137

575:5x 5x 23

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 9940149956700/(1x18)

LCM = 9940149956700/18

LCM = 552230553150

Thus, we can understand that the LCM of 794,162,327,411,575 is 552230553150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 162, 327, 411, 575

1. What is the LCM of 794, 162, 327, 411, 575?

Answer: LCM of 794, 162, 327, 411, 575 is 552230553150.

2. How to calculate the LCM of 794, 162, 327, 411, 575?

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 794, 162, 327, 411, 575.

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}.