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LCM of 673, 407, 397, 722, 605

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


Find the LCM of 673, 407, 397, 722, 605 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 673, 407, 397, 722, 605. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 673,407,397,722,605

Given numbers are 673,407,397,722,605

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

The LCM of 673,407,397,722,605 is 4318171306570.

Find LCM of 673,407,397,722,605 with Prime Factorization


11 673, 407, 397, 722, 605
673, 37, 397, 722, 55

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

11 x 673 x 37 x 397 x 722 x 55 = 4318171306570

Therefore, the lowest common multiple of 673,407,397,722,605 is 4318171306570.

LCM Formula to Find Lowest Common Multiple of 673,407,397,722,605

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.

673 x 407 x 397 x 722 x 605 = 47499884372270

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.

673 : 1, 673

407 : 1, 11, 37, 407

397 : 1, 397

722 : 1, 2, 19, 38, 361, 722

605 : 1, 5, 11, 55, 121, 605

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 673,407,397,722,605, is 1.

Now, the common factors can be found like this.

673:673

407:11x 37

397:397

722:2x 19x 19

605:5x 11x 11

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

11 = 11

Therefore, the value for common factors is 11.

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 = 47499884372270/(1x11)

LCM = 47499884372270/11

LCM = 4318171306570

Thus, we can understand that the LCM of 673,407,397,722,605 is 4318171306570.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 673, 407, 397, 722, 605

1. What is the LCM of 673, 407, 397, 722, 605?

Answer: LCM of 673, 407, 397, 722, 605 is 4318171306570.

2. How to calculate the LCM of 673, 407, 397, 722, 605?

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 673, 407, 397, 722, 605.

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}.