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LCM of 203, 149, 914, 890, 457

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


Find the LCM of 203, 149, 914, 890, 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 203, 149, 914, 890, 457. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 203,149,914,890,457

Given numbers are 203,149,914,890,457

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

The LCM of 203,149,914,890,457 is 12302362310.

Find LCM of 203,149,914,890,457 with Prime Factorization


2 203, 149, 914, 890, 457
457 203, 149, 457, 445, 457
203, 149, 1, 445, 1

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

2 x 457 x 203 x 149 x 1 x 445 x 1 = 12302362310

Therefore, the lowest common multiple of 203,149,914,890,457 is 12302362310.

LCM Formula to Find Lowest Common Multiple of 203,149,914,890,457

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.

203 x 149 x 914 x 890 x 457 = 11244359151340

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.

203 : 1, 7, 29, 203

149 : 1, 149

914 : 1, 2, 457, 914

890 : 1, 2, 5, 10, 89, 178, 445, 890

457 : 1, 457

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 203,149,914,890,457, is 1.

Now, the common factors can be found like this.

203:7x 29

149:149

914:2x 457

890:2x 5x 89

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.

2x 457 = 914

Therefore, the value for common factors is 914.

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 = 11244359151340/(1x914)

LCM = 11244359151340/914

LCM = 12302362310

Thus, we can understand that the LCM of 203,149,914,890,457 is 12302362310.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 203, 149, 914, 890, 457

1. What is the LCM of 203, 149, 914, 890, 457?

Answer: LCM of 203, 149, 914, 890, 457 is 12302362310.

2. How to calculate the LCM of 203, 149, 914, 890, 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 203, 149, 914, 890, 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}.