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LCM of 449, 858, 199, 172, 383

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


Find the LCM of 449, 858, 199, 172, 383 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 449, 858, 199, 172, 383. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 449,858,199,172,383

Given numbers are 449,858,199,172,383

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

The LCM of 449,858,199,172,383 is 2525131098204.

Find LCM of 449,858,199,172,383 with Prime Factorization


2 449, 858, 199, 172, 383
449, 429, 199, 86, 383

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

2 x 449 x 429 x 199 x 86 x 383 = 2525131098204

Therefore, the lowest common multiple of 449,858,199,172,383 is 2525131098204.

LCM Formula to Find Lowest Common Multiple of 449,858,199,172,383

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.

449 x 858 x 199 x 172 x 383 = 5050262196408

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.

449 : 1, 449

858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858

199 : 1, 199

172 : 1, 2, 4, 43, 86, 172

383 : 1, 383

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,858,199,172,383, is 1.

Now, the common factors can be found like this.

449:449

858:2x 3x 11x 13

199:199

172:2x 2x 43

383:383

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

2 = 2

Therefore, the value for common factors is 2.

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 = 5050262196408/(1x2)

LCM = 5050262196408/2

LCM = 2525131098204

Thus, we can understand that the LCM of 449,858,199,172,383 is 2525131098204.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 449, 858, 199, 172, 383

1. What is the LCM of 449, 858, 199, 172, 383?

Answer: LCM of 449, 858, 199, 172, 383 is 2525131098204.

2. How to calculate the LCM of 449, 858, 199, 172, 383?

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 449, 858, 199, 172, 383.

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}.