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LCM of 418, 772, 898, 589

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


Find the LCM of 418, 772, 898, 589 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 418, 772, 898, 589. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 418,772,898,589

Given numbers are 418,772,898,589

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

The LCM of 418,772,898,589 is 2245802812.

Find LCM of 418,772,898,589 with Prime Factorization


2 418, 772, 898, 589
19 209, 386, 449, 589
11, 386, 449, 31

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

2 x 19 x 11 x 386 x 449 x 31 = 2245802812

Therefore, the lowest common multiple of 418,772,898,589 is 2245802812.

LCM Formula to Find Lowest Common Multiple of 418,772,898,589

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.

418 x 772 x 898 x 589 = 170681013712

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.

418 : 1, 2, 11, 19, 22, 38, 209, 418

772 : 1, 2, 4, 193, 386, 772

898 : 1, 2, 449, 898

589 : 1, 19, 31, 589

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,772,898,589, is 1.

Now, the common factors can be found like this.

418:2x 11x 19

772:2x 2x 193

898:2x 449

589:19x 31

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

2x 2x 19 = 76

Therefore, the value for common factors is 76.

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 = 170681013712/(1x76)

LCM = 170681013712/76

LCM = 2245802812

Thus, we can understand that the LCM of 418,772,898,589 is 2245802812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 418, 772, 898, 589

1. What is the LCM of 418, 772, 898, 589?

Answer: LCM of 418, 772, 898, 589 is 2245802812.

2. How to calculate the LCM of 418, 772, 898, 589?

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 418, 772, 898, 589.

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}.