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LCM of 765, 493, 161, 509

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


Find the LCM of 765, 493, 161, 509 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, 493, 161, 509. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,493,161,509

Given numbers are 765,493,161,509

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

The LCM of 765,493,161,509 is 1818038565.

Find LCM of 765,493,161,509 with Prime Factorization


17 765, 493, 161, 509
45, 29, 161, 509

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

17 x 45 x 29 x 161 x 509 = 1818038565

Therefore, the lowest common multiple of 765,493,161,509 is 1818038565.

LCM Formula to Find Lowest Common Multiple of 765,493,161,509

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 493 x 161 x 509 = 30906655605

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

493 : 1, 17, 29, 493

161 : 1, 7, 23, 161

509 : 1, 509

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,493,161,509, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

493:17x 29

161:7x 23

509:509

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

17 = 17

Therefore, the value for common factors is 17.

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 = 30906655605/(1x17)

LCM = 30906655605/17

LCM = 1818038565

Thus, we can understand that the LCM of 765,493,161,509 is 1818038565.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 493, 161, 509

1. What is the LCM of 765, 493, 161, 509?

Answer: LCM of 765, 493, 161, 509 is 1818038565.

2. How to calculate the LCM of 765, 493, 161, 509?

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, 493, 161, 509.

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}.