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LCM of 422, 492, 398, 115

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


Find the LCM of 422, 492, 398, 115 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 422, 492, 398, 115. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,492,398,115

Given numbers are 422,492,398,115

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

The LCM of 422,492,398,115 is 2375737620.

Find LCM of 422,492,398,115 with Prime Factorization


2 422, 492, 398, 115
211, 246, 199, 115

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

2 x 211 x 246 x 199 x 115 = 2375737620

Therefore, the lowest common multiple of 422,492,398,115 is 2375737620.

LCM Formula to Find Lowest Common Multiple of 422,492,398,115

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.

422 x 492 x 398 x 115 = 9502950480

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.

422 : 1, 2, 211, 422

492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

398 : 1, 2, 199, 398

115 : 1, 5, 23, 115

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,492,398,115, is 1.

Now, the common factors can be found like this.

422:2x 211

492:2x 2x 3x 41

398:2x 199

115:5x 23

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 9502950480/(1x4)

LCM = 9502950480/4

LCM = 2375737620

Thus, we can understand that the LCM of 422,492,398,115 is 2375737620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 492, 398, 115

1. What is the LCM of 422, 492, 398, 115?

Answer: LCM of 422, 492, 398, 115 is 2375737620.

2. How to calculate the LCM of 422, 492, 398, 115?

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 422, 492, 398, 115.

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}.