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LCM of 765, 547, 835, 835, 782

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


Find the LCM of 765, 547, 835, 835, 782 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, 547, 835, 835, 782. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,547,835,835,782

Given numbers are 765,547,835,835,782

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

The LCM of 765,547,835,835,782 is 3214571310.

Find LCM of 765,547,835,835,782 with Prime Factorization


5 765, 547, 835, 835, 782
17 153, 547, 167, 167, 782
167 9, 547, 167, 167, 46
9, 547, 1, 1, 46

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

5 x 17 x 167 x 9 x 547 x 1 x 1 x 46 = 3214571310

Therefore, the lowest common multiple of 765,547,835,835,782 is 3214571310.

LCM Formula to Find Lowest Common Multiple of 765,547,835,835,782

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 547 x 835 x 835 x 782 = 228154198727250

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

547 : 1, 547

835 : 1, 5, 167, 835

835 : 1, 5, 167, 835

782 : 1, 2, 17, 23, 34, 46, 391, 782

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,547,835,835,782, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

547:547

835:5x 167

835:5x 167

782:2x 17x 23

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

5x 5x 17x 167 = 70975

Therefore, the value for common factors is 70975.

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 = 228154198727250/(1x70975)

LCM = 228154198727250/70975

LCM = 3214571310

Thus, we can understand that the LCM of 765,547,835,835,782 is 3214571310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 547, 835, 835, 782

1. What is the LCM of 765, 547, 835, 835, 782?

Answer: LCM of 765, 547, 835, 835, 782 is 3214571310.

2. How to calculate the LCM of 765, 547, 835, 835, 782?

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, 547, 835, 835, 782.

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}.