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LCM of 425, 269, 629, 391, 723

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


Find the LCM of 425, 269, 629, 391, 723 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 425, 269, 629, 391, 723. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 425,269,629,391,723

Given numbers are 425,269,629,391,723

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

The LCM of 425,269,629,391,723 is 70341085725.

Find LCM of 425,269,629,391,723 with Prime Factorization


17 425, 269, 629, 391, 723
25, 269, 37, 23, 723

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

17 x 25 x 269 x 37 x 23 x 723 = 70341085725

Therefore, the lowest common multiple of 425,269,629,391,723 is 70341085725.

LCM Formula to Find Lowest Common Multiple of 425,269,629,391,723

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.

425 x 269 x 629 x 391 x 723 = 20328573774525

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.

425 : 1, 5, 17, 25, 85, 425

269 : 1, 269

629 : 1, 17, 37, 629

391 : 1, 17, 23, 391

723 : 1, 3, 241, 723

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 425,269,629,391,723, is 1.

Now, the common factors can be found like this.

425:5x 5x 17

269:269

629:17x 37

391:17x 23

723:3x 241

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 = 20328573774525/(1x289)

LCM = 20328573774525/289

LCM = 70341085725

Thus, we can understand that the LCM of 425,269,629,391,723 is 70341085725.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 425, 269, 629, 391, 723

1. What is the LCM of 425, 269, 629, 391, 723?

Answer: LCM of 425, 269, 629, 391, 723 is 70341085725.

2. How to calculate the LCM of 425, 269, 629, 391, 723?

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 425, 269, 629, 391, 723.

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}.