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LCM of 705, 897, 529, 687

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


Find the LCM of 705, 897, 529, 687 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 705, 897, 529, 687. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 705,897,529,687

Given numbers are 705,897,529,687

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

The LCM of 705,897,529,687 is 1110257265.

Find LCM of 705,897,529,687 with Prime Factorization


3 705, 897, 529, 687
23 235, 299, 529, 229
235, 13, 23, 229

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

3 x 23 x 235 x 13 x 23 x 229 = 1110257265

Therefore, the lowest common multiple of 705,897,529,687 is 1110257265.

LCM Formula to Find Lowest Common Multiple of 705,897,529,687

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.

705 x 897 x 529 x 687 = 229823253855

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.

705 : 1, 3, 5, 15, 47, 141, 235, 705

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

529 : 1, 23, 529

687 : 1, 3, 229, 687

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 705,897,529,687, is 1.

Now, the common factors can be found like this.

705:3x 5x 47

897:3x 13x 23

529:23x 23

687:3x 229

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 23 = 207

Therefore, the value for common factors is 207.

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 = 229823253855/(1x207)

LCM = 229823253855/207

LCM = 1110257265

Thus, we can understand that the LCM of 705,897,529,687 is 1110257265.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 705, 897, 529, 687

1. What is the LCM of 705, 897, 529, 687?

Answer: LCM of 705, 897, 529, 687 is 1110257265.

2. How to calculate the LCM of 705, 897, 529, 687?

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 705, 897, 529, 687.

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}.