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LCM of 598, 199, 381, 626

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


Find the LCM of 598, 199, 381, 626 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 598, 199, 381, 626. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,199,381,626

Given numbers are 598,199,381,626

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

The LCM of 598,199,381,626 is 14191345506.

Find LCM of 598,199,381,626 with Prime Factorization


2 598, 199, 381, 626
299, 199, 381, 313

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

2 x 299 x 199 x 381 x 313 = 14191345506

Therefore, the lowest common multiple of 598,199,381,626 is 14191345506.

LCM Formula to Find Lowest Common Multiple of 598,199,381,626

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.

598 x 199 x 381 x 626 = 28382691012

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

199 : 1, 199

381 : 1, 3, 127, 381

626 : 1, 2, 313, 626

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,199,381,626, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

199:199

381:3x 127

626:2x 313

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

2 = 2

Therefore, the value for common factors is 2.

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 = 28382691012/(1x2)

LCM = 28382691012/2

LCM = 14191345506

Thus, we can understand that the LCM of 598,199,381,626 is 14191345506.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 199, 381, 626

1. What is the LCM of 598, 199, 381, 626?

Answer: LCM of 598, 199, 381, 626 is 14191345506.

2. How to calculate the LCM of 598, 199, 381, 626?

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 598, 199, 381, 626.

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}.