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LCM of 558, 898, 203, 890, 418

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


Find the LCM of 558, 898, 203, 890, 418 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 558, 898, 203, 890, 418. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 558,898,203,890,418

Given numbers are 558,898,203,890,418

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

The LCM of 558,898,203,890,418 is 4730236718130.

Find LCM of 558,898,203,890,418 with Prime Factorization


2 558, 898, 203, 890, 418
279, 449, 203, 445, 209

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

2 x 279 x 449 x 203 x 445 x 209 = 4730236718130

Therefore, the lowest common multiple of 558,898,203,890,418 is 4730236718130.

LCM Formula to Find Lowest Common Multiple of 558,898,203,890,418

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.

558 x 898 x 203 x 890 x 418 = 37841893745040

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.

558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

898 : 1, 2, 449, 898

203 : 1, 7, 29, 203

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

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,898,203,890,418, is 1.

Now, the common factors can be found like this.

558:2x 3x 3x 31

898:2x 449

203:7x 29

890:2x 5x 89

418:2x 11x 19

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 2 = 8

Therefore, the value for common factors is 8.

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 = 37841893745040/(1x8)

LCM = 37841893745040/8

LCM = 4730236718130

Thus, we can understand that the LCM of 558,898,203,890,418 is 4730236718130.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 558, 898, 203, 890, 418

1. What is the LCM of 558, 898, 203, 890, 418?

Answer: LCM of 558, 898, 203, 890, 418 is 4730236718130.

2. How to calculate the LCM of 558, 898, 203, 890, 418?

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 558, 898, 203, 890, 418.

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}.