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LCM of 745, 408, 323, 539, 697

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


Find the LCM of 745, 408, 323, 539, 697 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 745, 408, 323, 539, 697. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 745,408,323,539,697

Given numbers are 745,408,323,539,697

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

The LCM of 745,408,323,539,697 is 127627028760.

Find LCM of 745,408,323,539,697 with Prime Factorization


17 745, 408, 323, 539, 697
745, 24, 19, 539, 41

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

17 x 745 x 24 x 19 x 539 x 41 = 127627028760

Therefore, the lowest common multiple of 745,408,323,539,697 is 127627028760.

LCM Formula to Find Lowest Common Multiple of 745,408,323,539,697

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.

745 x 408 x 323 x 539 x 697 = 36884211311640

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.

745 : 1, 5, 149, 745

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

323 : 1, 17, 19, 323

539 : 1, 7, 11, 49, 77, 539

697 : 1, 17, 41, 697

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,408,323,539,697, is 1.

Now, the common factors can be found like this.

745:5x 149

408:2x 2x 2x 3x 17

323:17x 19

539:7x 7x 11

697:17x 41

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

17x 17 = 289

Therefore, the value for common factors is 289.

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 = 36884211311640/(1x289)

LCM = 36884211311640/289

LCM = 127627028760

Thus, we can understand that the LCM of 745,408,323,539,697 is 127627028760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 745, 408, 323, 539, 697

1. What is the LCM of 745, 408, 323, 539, 697?

Answer: LCM of 745, 408, 323, 539, 697 is 127627028760.

2. How to calculate the LCM of 745, 408, 323, 539, 697?

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 745, 408, 323, 539, 697.

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}.