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LCM of 214, 390, 234, 398

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


Find the LCM of 214, 390, 234, 398 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 214, 390, 234, 398. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 214,390,234,398

Given numbers are 214,390,234,398

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

The LCM of 214,390,234,398 is 24912810.

Find LCM of 214,390,234,398 with Prime Factorization


2 214, 390, 234, 398
3 107, 195, 117, 199
13 107, 65, 39, 199
107, 5, 3, 199

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

2 x 3 x 13 x 107 x 5 x 3 x 199 = 24912810

Therefore, the lowest common multiple of 214,390,234,398 is 24912810.

LCM Formula to Find Lowest Common Multiple of 214,390,234,398

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.

214 x 390 x 234 x 398 = 7772796720

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.

214 : 1, 2, 107, 214

390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

398 : 1, 2, 199, 398

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,390,234,398, is 2.

Now, the common factors can be found like this.

214:2x 107

390:2x 3x 5x 13

234:2x 3x 3x 13

398:2x 199

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 3x 13 = 156

Therefore, the value for common factors is 156.

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 = 7772796720/(2x156)

LCM = 7772796720/312

LCM = 24912810

Thus, we can understand that the LCM of 214,390,234,398 is 24912810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 214, 390, 234, 398

1. What is the LCM of 214, 390, 234, 398?

Answer: LCM of 214, 390, 234, 398 is 24912810.

2. How to calculate the LCM of 214, 390, 234, 398?

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 214, 390, 234, 398.

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}.