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LCM of 394, 692, 214, 199, 199

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


Find the LCM of 394, 692, 214, 199, 199 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 394, 692, 214, 199, 199. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 394,692,214,199,199

Given numbers are 394,692,214,199,199

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

The LCM of 394,692,214,199,199 is 2902746932.

Find LCM of 394,692,214,199,199 with Prime Factorization


2 394, 692, 214, 199, 199
199 197, 346, 107, 199, 199
197, 346, 107, 1, 1

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

2 x 199 x 197 x 346 x 107 x 1 x 1 = 2902746932

Therefore, the lowest common multiple of 394,692,214,199,199 is 2902746932.

LCM Formula to Find Lowest Common Multiple of 394,692,214,199,199

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.

394 x 692 x 214 x 199 x 199 = 2310586557872

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.

394 : 1, 2, 197, 394

692 : 1, 2, 4, 173, 346, 692

214 : 1, 2, 107, 214

199 : 1, 199

199 : 1, 199

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,692,214,199,199, is 1.

Now, the common factors can be found like this.

394:2x 197

692:2x 2x 173

214:2x 107

199:199

199:199

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 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 = 2310586557872/(1x796)

LCM = 2310586557872/796

LCM = 2902746932

Thus, we can understand that the LCM of 394,692,214,199,199 is 2902746932.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 394, 692, 214, 199, 199

1. What is the LCM of 394, 692, 214, 199, 199?

Answer: LCM of 394, 692, 214, 199, 199 is 2902746932.

2. How to calculate the LCM of 394, 692, 214, 199, 199?

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 394, 692, 214, 199, 199.

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}.