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LCM of 897, 859, 345, 755

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


Find the LCM of 897, 859, 345, 755 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 897, 859, 345, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 897,859,345,755

Given numbers are 897,859,345,755

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

The LCM of 897,859,345,755 is 581744865.

Find LCM of 897,859,345,755 with Prime Factorization


3 897, 859, 345, 755
5 299, 859, 115, 755
23 299, 859, 23, 151
13, 859, 1, 151

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

3 x 5 x 23 x 13 x 859 x 1 x 151 = 581744865

Therefore, the lowest common multiple of 897,859,345,755 is 581744865.

LCM Formula to Find Lowest Common Multiple of 897,859,345,755

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.

897 x 859 x 345 x 755 = 200701978425

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.

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

859 : 1, 859

345 : 1, 3, 5, 15, 23, 69, 115, 345

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 897,859,345,755, is 1.

Now, the common factors can be found like this.

897:3x 13x 23

859:859

345:3x 5x 23

755:5x 151

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

3x 5x 23 = 345

Therefore, the value for common factors is 345.

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 = 200701978425/(1x345)

LCM = 200701978425/345

LCM = 581744865

Thus, we can understand that the LCM of 897,859,345,755 is 581744865.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 897, 859, 345, 755

1. What is the LCM of 897, 859, 345, 755?

Answer: LCM of 897, 859, 345, 755 is 581744865.

2. How to calculate the LCM of 897, 859, 345, 755?

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 897, 859, 345, 755.

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}.