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LCM of 407, 293, 507, 728

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


Find the LCM of 407, 293, 507, 728 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 407, 293, 507, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,293,507,728

Given numbers are 407,293,507,728

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

The LCM of 407,293,507,728 is 3385774392.

Find LCM of 407,293,507,728 with Prime Factorization


13 407, 293, 507, 728
407, 293, 39, 56

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

13 x 407 x 293 x 39 x 56 = 3385774392

Therefore, the lowest common multiple of 407,293,507,728 is 3385774392.

LCM Formula to Find Lowest Common Multiple of 407,293,507,728

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.

407 x 293 x 507 x 728 = 44015067096

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.

407 : 1, 11, 37, 407

293 : 1, 293

507 : 1, 3, 13, 39, 169, 507

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,293,507,728, is 1.

Now, the common factors can be found like this.

407:11x 37

293:293

507:3x 13x 13

728:2x 2x 2x 7x 13

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

13 = 13

Therefore, the value for common factors is 13.

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 = 44015067096/(1x13)

LCM = 44015067096/13

LCM = 3385774392

Thus, we can understand that the LCM of 407,293,507,728 is 3385774392.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 293, 507, 728

1. What is the LCM of 407, 293, 507, 728?

Answer: LCM of 407, 293, 507, 728 is 3385774392.

2. How to calculate the LCM of 407, 293, 507, 728?

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 407, 293, 507, 728.

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}.