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LCM of 429, 723, 485, 825, 457

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


Find the LCM of 429, 723, 485, 825, 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 429, 723, 485, 825, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 429,723,485,825,457

Given numbers are 429,723,485,825,457

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

The LCM of 429,723,485,825,457 is 114578274525.

Find LCM of 429,723,485,825,457 with Prime Factorization


3 429, 723, 485, 825, 457
5 143, 241, 485, 275, 457
11 143, 241, 97, 55, 457
13, 241, 97, 5, 457

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

3 x 5 x 11 x 13 x 241 x 97 x 5 x 457 = 114578274525

Therefore, the lowest common multiple of 429,723,485,825,457 is 114578274525.

LCM Formula to Find Lowest Common Multiple of 429,723,485,825,457

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.

429 x 723 x 485 x 825 x 457 = 56716245889875

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.

429 : 1, 3, 11, 13, 33, 39, 143, 429

723 : 1, 3, 241, 723

485 : 1, 5, 97, 485

825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 429,723,485,825,457, is 1.

Now, the common factors can be found like this.

429:3x 11x 13

723:3x 241

485:5x 97

825:3x 5x 5x 11

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.

3x 3x 5x 11 = 495

Therefore, the value for common factors is 495.

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 = 56716245889875/(1x495)

LCM = 56716245889875/495

LCM = 114578274525

Thus, we can understand that the LCM of 429,723,485,825,457 is 114578274525.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 429, 723, 485, 825, 457

1. What is the LCM of 429, 723, 485, 825, 457?

Answer: LCM of 429, 723, 485, 825, 457 is 114578274525.

2. How to calculate the LCM of 429, 723, 485, 825, 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 429, 723, 485, 825, 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}.