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LCM of 794, 918, 187, 822

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


Find the LCM of 794, 918, 187, 822 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, 918, 187, 822. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 794,918,187,822

Given numbers are 794,918,187,822

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

The LCM of 794,918,187,822 is 549220122.

Find LCM of 794,918,187,822 with Prime Factorization


2 794, 918, 187, 822
3 397, 459, 187, 411
17 397, 153, 187, 137
397, 9, 11, 137

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

2 x 3 x 17 x 397 x 9 x 11 x 137 = 549220122

Therefore, the lowest common multiple of 794,918,187,822 is 549220122.

LCM Formula to Find Lowest Common Multiple of 794,918,187,822

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 918 x 187 x 822 = 112040904888

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

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

187 : 1, 11, 17, 187

822 : 1, 2, 3, 6, 137, 274, 411, 822

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 794,918,187,822, is 1.

Now, the common factors can be found like this.

794:2x 397

918:2x 3x 3x 3x 17

187:11x 17

822:2x 3x 137

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

2x 2x 3x 17 = 204

Therefore, the value for common factors is 204.

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 = 112040904888/(1x204)

LCM = 112040904888/204

LCM = 549220122

Thus, we can understand that the LCM of 794,918,187,822 is 549220122.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 794, 918, 187, 822

1. What is the LCM of 794, 918, 187, 822?

Answer: LCM of 794, 918, 187, 822 is 549220122.

2. How to calculate the LCM of 794, 918, 187, 822?

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, 918, 187, 822.

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}.