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LCM of 398, 638, 667, 990

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


Find the LCM of 398, 638, 667, 990 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 398, 638, 667, 990. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,638,667,990

Given numbers are 398,638,667,990

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

The LCM of 398,638,667,990 is 131405670.

Find LCM of 398,638,667,990 with Prime Factorization


2 398, 638, 667, 990
11 199, 319, 667, 495
29 199, 29, 667, 45
199, 1, 23, 45

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

2 x 11 x 29 x 199 x 1 x 23 x 45 = 131405670

Therefore, the lowest common multiple of 398,638,667,990 is 131405670.

LCM Formula to Find Lowest Common Multiple of 398,638,667,990

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.

398 x 638 x 667 x 990 = 167673634920

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.

398 : 1, 2, 199, 398

638 : 1, 2, 11, 22, 29, 58, 319, 638

667 : 1, 23, 29, 667

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,638,667,990, is 1.

Now, the common factors can be found like this.

398:2x 199

638:2x 11x 29

667:23x 29

990:2x 3x 3x 5x 11

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 11x 29 = 1276

Therefore, the value for common factors is 1276.

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 = 167673634920/(1x1276)

LCM = 167673634920/1276

LCM = 131405670

Thus, we can understand that the LCM of 398,638,667,990 is 131405670.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 638, 667, 990

1. What is the LCM of 398, 638, 667, 990?

Answer: LCM of 398, 638, 667, 990 is 131405670.

2. How to calculate the LCM of 398, 638, 667, 990?

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 398, 638, 667, 990.

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}.