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LCM of 994, 281, 142, 311, 519

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


Find the LCM of 994, 281, 142, 311, 519 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 994, 281, 142, 311, 519. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 994,281,142,311,519

Given numbers are 994,281,142,311,519

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

The LCM of 994,281,142,311,519 is 45083793426.

Find LCM of 994,281,142,311,519 with Prime Factorization


2 994, 281, 142, 311, 519
71 497, 281, 71, 311, 519
7, 281, 1, 311, 519

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

2 x 71 x 7 x 281 x 1 x 311 x 519 = 45083793426

Therefore, the lowest common multiple of 994,281,142,311,519 is 45083793426.

LCM Formula to Find Lowest Common Multiple of 994,281,142,311,519

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.

994 x 281 x 142 x 311 x 519 = 6401898666492

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.

994 : 1, 2, 7, 14, 71, 142, 497, 994

281 : 1, 281

142 : 1, 2, 71, 142

311 : 1, 311

519 : 1, 3, 173, 519

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,281,142,311,519, is 1.

Now, the common factors can be found like this.

994:2x 7x 71

281:281

142:2x 71

311:311

519:3x 173

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

2x 71 = 142

Therefore, the value for common factors is 142.

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 = 6401898666492/(1x142)

LCM = 6401898666492/142

LCM = 45083793426

Thus, we can understand that the LCM of 994,281,142,311,519 is 45083793426.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 994, 281, 142, 311, 519

1. What is the LCM of 994, 281, 142, 311, 519?

Answer: LCM of 994, 281, 142, 311, 519 is 45083793426.

2. How to calculate the LCM of 994, 281, 142, 311, 519?

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 994, 281, 142, 311, 519.

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}.