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LCM of 398, 160, 199, 494

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


Find the LCM of 398, 160, 199, 494 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, 160, 199, 494. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 398,160,199,494

Given numbers are 398,160,199,494

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

The LCM of 398,160,199,494 is 7864480.

Find LCM of 398,160,199,494 with Prime Factorization


2 398, 160, 199, 494
199 199, 80, 199, 247
1, 80, 1, 247

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

2 x 199 x 1 x 80 x 1 x 247 = 7864480

Therefore, the lowest common multiple of 398,160,199,494 is 7864480.

LCM Formula to Find Lowest Common Multiple of 398,160,199,494

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 160 x 199 x 494 = 6260126080

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

160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

199 : 1, 199

494 : 1, 2, 13, 19, 26, 38, 247, 494

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 398,160,199,494, is 1.

Now, the common factors can be found like this.

398:2x 199

160:2x 2x 2x 2x 2x 5

199:199

494:2x 13x 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 199 = 796

Therefore, the value for common factors is 796.

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 = 6260126080/(1x796)

LCM = 6260126080/796

LCM = 7864480

Thus, we can understand that the LCM of 398,160,199,494 is 7864480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 398, 160, 199, 494

1. What is the LCM of 398, 160, 199, 494?

Answer: LCM of 398, 160, 199, 494 is 7864480.

2. How to calculate the LCM of 398, 160, 199, 494?

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, 160, 199, 494.

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}.