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LCM of 199, 244, 558, 398, 742

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


Find the LCM of 199, 244, 558, 398, 742 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 199, 244, 558, 398, 742. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,244,558,398,742

Given numbers are 199,244,558,398,742

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

The LCM of 199,244,558,398,742 is 5025983004.

Find LCM of 199,244,558,398,742 with Prime Factorization


2 199, 244, 558, 398, 742
199 199, 122, 279, 199, 371
1, 122, 279, 1, 371

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

2 x 199 x 1 x 122 x 279 x 1 x 371 = 5025983004

Therefore, the lowest common multiple of 199,244,558,398,742 is 5025983004.

LCM Formula to Find Lowest Common Multiple of 199,244,558,398,742

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.

199 x 244 x 558 x 398 x 742 = 8001364942368

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.

199 : 1, 199

244 : 1, 2, 4, 61, 122, 244

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

398 : 1, 2, 199, 398

742 : 1, 2, 7, 14, 53, 106, 371, 742

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,244,558,398,742, is 1.

Now, the common factors can be found like this.

199:199

244:2x 2x 61

558:2x 3x 3x 31

398:2x 199

742:2x 7x 53

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 2x 199 = 1592

Therefore, the value for common factors is 1592.

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 = 8001364942368/(1x1592)

LCM = 8001364942368/1592

LCM = 5025983004

Thus, we can understand that the LCM of 199,244,558,398,742 is 5025983004.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 244, 558, 398, 742

1. What is the LCM of 199, 244, 558, 398, 742?

Answer: LCM of 199, 244, 558, 398, 742 is 5025983004.

2. How to calculate the LCM of 199, 244, 558, 398, 742?

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 199, 244, 558, 398, 742.

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}.