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LCM of 305, 923, 923, 457

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


Find the LCM of 305, 923, 923, 457 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 305, 923, 923, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 305,923,923,457

Given numbers are 305,923,923,457

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

The LCM of 305,923,923,457 is 128652355.

Find LCM of 305,923,923,457 with Prime Factorization


13 305, 923, 923, 457
71 305, 71, 71, 457
305, 1, 1, 457

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

13 x 71 x 305 x 1 x 1 x 457 = 128652355

Therefore, the lowest common multiple of 305,923,923,457 is 128652355.

LCM Formula to Find Lowest Common Multiple of 305,923,923,457

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.

305 x 923 x 923 x 457 = 118746123665

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.

305 : 1, 5, 61, 305

923 : 1, 13, 71, 923

923 : 1, 13, 71, 923

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,923,923,457, is 1.

Now, the common factors can be found like this.

305:5x 61

923:13x 71

923:13x 71

457:457

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

13x 71 = 923

Therefore, the value for common factors is 923.

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 = 118746123665/(1x923)

LCM = 118746123665/923

LCM = 128652355

Thus, we can understand that the LCM of 305,923,923,457 is 128652355.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 305, 923, 923, 457

1. What is the LCM of 305, 923, 923, 457?

Answer: LCM of 305, 923, 923, 457 is 128652355.

2. How to calculate the LCM of 305, 923, 923, 457?

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 305, 923, 923, 457.

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}.