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LCM of 765, 897, 856, 716

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


Find the LCM of 765, 897, 856, 716 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 765, 897, 856, 716. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,897,856,716

Given numbers are 765,897,856,716

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

The LCM of 765,897,856,716 is 35047691640.

Find LCM of 765,897,856,716 with Prime Factorization


2 765, 897, 856, 716
2 765, 897, 428, 358
3 765, 897, 214, 179
255, 299, 214, 179

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

2 x 2 x 3 x 255 x 299 x 214 x 179 = 35047691640

Therefore, the lowest common multiple of 765,897,856,716 is 35047691640.

LCM Formula to Find Lowest Common Multiple of 765,897,856,716

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.

765 x 897 x 856 x 716 = 420572299680

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

716 : 1, 2, 4, 179, 358, 716

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,897,856,716, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

897:3x 13x 23

856:2x 2x 2x 107

716:2x 2x 179

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 3 = 12

Therefore, the value for common factors is 12.

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 = 420572299680/(1x12)

LCM = 420572299680/12

LCM = 35047691640

Thus, we can understand that the LCM of 765,897,856,716 is 35047691640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 897, 856, 716

1. What is the LCM of 765, 897, 856, 716?

Answer: LCM of 765, 897, 856, 716 is 35047691640.

2. How to calculate the LCM of 765, 897, 856, 716?

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 765, 897, 856, 716.

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}.