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LCM of 381, 522, 672, 252, 129

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


Find the LCM of 381, 522, 672, 252, 129 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 381, 522, 672, 252, 129. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 381,522,672,252,129

Given numbers are 381,522,672,252,129

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

The LCM of 381,522,672,252,129 is 319271904.

Find LCM of 381,522,672,252,129 with Prime Factorization


2 381, 522, 672, 252, 129
2 381, 261, 336, 126, 129
3 381, 261, 168, 63, 129
3 127, 87, 56, 21, 43
7 127, 29, 56, 7, 43
127, 29, 8, 1, 43

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

2 x 2 x 3 x 3 x 7 x 127 x 29 x 8 x 1 x 43 = 319271904

Therefore, the lowest common multiple of 381,522,672,252,129 is 319271904.

LCM Formula to Find Lowest Common Multiple of 381,522,672,252,129

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.

381 x 522 x 672 x 252 x 129 = 4344652069632

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.

381 : 1, 3, 127, 381

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

129 : 1, 3, 43, 129

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,522,672,252,129, is 3.

Now, the common factors can be found like this.

381:3x 127

522:2x 3x 3x 29

672:2x 2x 2x 2x 2x 3x 7

252:2x 2x 3x 3x 7

129:3x 43

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 2x 3x 3x 3x 3x 7 = 4536

Therefore, the value for common factors is 4536.

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 = 4344652069632/(3x4536)

LCM = 4344652069632/13608

LCM = 319271904

Thus, we can understand that the LCM of 381,522,672,252,129 is 319271904.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 381, 522, 672, 252, 129

1. What is the LCM of 381, 522, 672, 252, 129?

Answer: LCM of 381, 522, 672, 252, 129 is 319271904.

2. How to calculate the LCM of 381, 522, 672, 252, 129?

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 381, 522, 672, 252, 129.

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}.