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LCM of 177, 406, 696, 216, 843

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


Find the LCM of 177, 406, 696, 216, 843 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 177, 406, 696, 216, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 177,406,696,216,843

Given numbers are 177,406,696,216,843

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

The LCM of 177,406,696,216,843 is 726955992.

Find LCM of 177,406,696,216,843 with Prime Factorization


2 177, 406, 696, 216, 843
2 177, 203, 348, 108, 843
2 177, 203, 174, 54, 843
3 177, 203, 87, 27, 843
29 59, 203, 29, 9, 281
59, 7, 1, 9, 281

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

2 x 2 x 2 x 3 x 29 x 59 x 7 x 1 x 9 x 281 = 726955992

Therefore, the lowest common multiple of 177,406,696,216,843 is 726955992.

LCM Formula to Find Lowest Common Multiple of 177,406,696,216,843

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.

177 x 406 x 696 x 216 x 843 = 9107304667776

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.

177 : 1, 3, 59, 177

406 : 1, 2, 7, 14, 29, 58, 203, 406

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 177,406,696,216,843, is 1.

Now, the common factors can be found like this.

177:3x 59

406:2x 7x 29

696:2x 2x 2x 3x 29

216:2x 2x 2x 3x 3x 3

843:3x 281

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 2x 2x 3x 3x 3x 29 = 12528

Therefore, the value for common factors is 12528.

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 = 9107304667776/(1x12528)

LCM = 9107304667776/12528

LCM = 726955992

Thus, we can understand that the LCM of 177,406,696,216,843 is 726955992.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 177, 406, 696, 216, 843

1. What is the LCM of 177, 406, 696, 216, 843?

Answer: LCM of 177, 406, 696, 216, 843 is 726955992.

2. How to calculate the LCM of 177, 406, 696, 216, 843?

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 177, 406, 696, 216, 843.

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}.