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LCM of 697, 579, 861, 287, 279

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


Find the LCM of 697, 579, 861, 287, 279 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 697, 579, 861, 287, 279. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,579,861,287,279

Given numbers are 697,579,861,287,279

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

The LCM of 697,579,861,287,279 is 262719513.

Find LCM of 697,579,861,287,279 with Prime Factorization


3 697, 579, 861, 287, 279
7 697, 193, 287, 287, 93
41 697, 193, 41, 41, 93
17, 193, 1, 1, 93

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

3 x 7 x 41 x 17 x 193 x 1 x 1 x 93 = 262719513

Therefore, the lowest common multiple of 697,579,861,287,279 is 262719513.

LCM Formula to Find Lowest Common Multiple of 697,579,861,287,279

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.

697 x 579 x 861 x 287 x 279 = 27822784585239

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.

697 : 1, 17, 41, 697

579 : 1, 3, 193, 579

861 : 1, 3, 7, 21, 41, 123, 287, 861

287 : 1, 7, 41, 287

279 : 1, 3, 9, 31, 93, 279

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,579,861,287,279, is 1.

Now, the common factors can be found like this.

697:17x 41

579:3x 193

861:3x 7x 41

287:7x 41

279:3x 3x 31

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

3x 3x 7x 41x 41 = 105903

Therefore, the value for common factors is 105903.

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 = 27822784585239/(1x105903)

LCM = 27822784585239/105903

LCM = 262719513

Thus, we can understand that the LCM of 697,579,861,287,279 is 262719513.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 579, 861, 287, 279

1. What is the LCM of 697, 579, 861, 287, 279?

Answer: LCM of 697, 579, 861, 287, 279 is 262719513.

2. How to calculate the LCM of 697, 579, 861, 287, 279?

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 697, 579, 861, 287, 279.

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}.