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LCM of 792, 179, 167, 211, 897

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


Find the LCM of 792, 179, 167, 211, 897 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 792, 179, 167, 211, 897. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 792,179,167,211,897

Given numbers are 792,179,167,211,897

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

The LCM of 792,179,167,211,897 is 1493648225784.

Find LCM of 792,179,167,211,897 with Prime Factorization


3 792, 179, 167, 211, 897
264, 179, 167, 211, 299

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

3 x 264 x 179 x 167 x 211 x 299 = 1493648225784

Therefore, the lowest common multiple of 792,179,167,211,897 is 1493648225784.

LCM Formula to Find Lowest Common Multiple of 792,179,167,211,897

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.

792 x 179 x 167 x 211 x 897 = 4480944677352

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.

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

179 : 1, 179

167 : 1, 167

211 : 1, 211

897 : 1, 3, 13, 23, 39, 69, 299, 897

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,179,167,211,897, is 1.

Now, the common factors can be found like this.

792:2x 2x 2x 3x 3x 11

179:179

167:167

211:211

897:3x 13x 23

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

3 = 3

Therefore, the value for common factors is 3.

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 = 4480944677352/(1x3)

LCM = 4480944677352/3

LCM = 1493648225784

Thus, we can understand that the LCM of 792,179,167,211,897 is 1493648225784.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 792, 179, 167, 211, 897

1. What is the LCM of 792, 179, 167, 211, 897?

Answer: LCM of 792, 179, 167, 211, 897 is 1493648225784.

2. How to calculate the LCM of 792, 179, 167, 211, 897?

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 792, 179, 167, 211, 897.

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}.