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LCM of 760, 673, 806, 586, 537

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


Find the LCM of 760, 673, 806, 586, 537 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 760, 673, 806, 586, 537. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,673,806,586,537

Given numbers are 760,673,806,586,537

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

The LCM of 760,673,806,586,537 is 32432140196040.

Find LCM of 760,673,806,586,537 with Prime Factorization


2 760, 673, 806, 586, 537
380, 673, 403, 293, 537

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

2 x 380 x 673 x 403 x 293 x 537 = 32432140196040

Therefore, the lowest common multiple of 760,673,806,586,537 is 32432140196040.

LCM Formula to Find Lowest Common Multiple of 760,673,806,586,537

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.

760 x 673 x 806 x 586 x 537 = 129728560784160

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.

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

673 : 1, 673

806 : 1, 2, 13, 26, 31, 62, 403, 806

586 : 1, 2, 293, 586

537 : 1, 3, 179, 537

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,673,806,586,537, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

673:673

806:2x 13x 31

586:2x 293

537:3x 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 2 = 4

Therefore, the value for common factors is 4.

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 = 129728560784160/(1x4)

LCM = 129728560784160/4

LCM = 32432140196040

Thus, we can understand that the LCM of 760,673,806,586,537 is 32432140196040.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 673, 806, 586, 537

1. What is the LCM of 760, 673, 806, 586, 537?

Answer: LCM of 760, 673, 806, 586, 537 is 32432140196040.

2. How to calculate the LCM of 760, 673, 806, 586, 537?

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 760, 673, 806, 586, 537.

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}.