LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 765, 662, 714, 779, 389

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


Find the LCM of 765, 662, 714, 779, 389 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, 662, 714, 779, 389. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,662,714,779,389

Given numbers are 765,662,714,779,389

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

The LCM of 765,662,714,779,389 is 1074247925310.

Find LCM of 765,662,714,779,389 with Prime Factorization


2 765, 662, 714, 779, 389
3 765, 331, 357, 779, 389
17 255, 331, 119, 779, 389
15, 331, 7, 779, 389

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

2 x 3 x 17 x 15 x 331 x 7 x 779 x 389 = 1074247925310

Therefore, the lowest common multiple of 765,662,714,779,389 is 1074247925310.

LCM Formula to Find Lowest Common Multiple of 765,662,714,779,389

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 662 x 714 x 779 x 389 = 109573288381620

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

662 : 1, 2, 331, 662

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

779 : 1, 19, 41, 779

389 : 1, 389

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,662,714,779,389, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

662:2x 331

714:2x 3x 7x 17

779:19x 41

389:389

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

2x 3x 17 = 102

Therefore, the value for common factors is 102.

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 = 109573288381620/(1x102)

LCM = 109573288381620/102

LCM = 1074247925310

Thus, we can understand that the LCM of 765,662,714,779,389 is 1074247925310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 662, 714, 779, 389

1. What is the LCM of 765, 662, 714, 779, 389?

Answer: LCM of 765, 662, 714, 779, 389 is 1074247925310.

2. How to calculate the LCM of 765, 662, 714, 779, 389?

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, 662, 714, 779, 389.

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}.