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LCM of 199, 281, 379, 379

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


Find the LCM of 199, 281, 379, 379 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 199, 281, 379, 379. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 199,281,379,379

Given numbers are 199,281,379,379

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

The LCM of 199,281,379,379 is 21193301.

Find LCM of 199,281,379,379 with Prime Factorization


379 199, 281, 379, 379
199, 281, 1, 1

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

379 x 199 x 281 x 1 x 1 = 21193301

Therefore, the lowest common multiple of 199,281,379,379 is 21193301.

LCM Formula to Find Lowest Common Multiple of 199,281,379,379

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.

199 x 281 x 379 x 379 = 8032261079

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.

199 : 1, 199

281 : 1, 281

379 : 1, 379

379 : 1, 379

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 199,281,379,379, is 1.

Now, the common factors can be found like this.

199:199

281:281

379:379

379:379

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

379 = 379

Therefore, the value for common factors is 379.

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 = 8032261079/(1x379)

LCM = 8032261079/379

LCM = 21193301

Thus, we can understand that the LCM of 199,281,379,379 is 21193301.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 199, 281, 379, 379

1. What is the LCM of 199, 281, 379, 379?

Answer: LCM of 199, 281, 379, 379 is 21193301.

2. How to calculate the LCM of 199, 281, 379, 379?

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 199, 281, 379, 379.

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}.