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LCM of 873, 378, 918, 406

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


Find the LCM of 873, 378, 918, 406 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 873, 378, 918, 406. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 873,378,918,406

Given numbers are 873,378,918,406

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

The LCM of 873,378,918,406 is 18076338.

Find LCM of 873,378,918,406 with Prime Factorization


2 873, 378, 918, 406
3 873, 189, 459, 203
3 291, 63, 153, 203
3 97, 21, 51, 203
7 97, 7, 17, 203
97, 1, 17, 29

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

2 x 3 x 3 x 3 x 7 x 97 x 1 x 17 x 29 = 18076338

Therefore, the lowest common multiple of 873,378,918,406 is 18076338.

LCM Formula to Find Lowest Common Multiple of 873,378,918,406

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.

873 x 378 x 918 x 406 = 122991403752

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.

873 : 1, 3, 9, 97, 291, 873

378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

406 : 1, 2, 7, 14, 29, 58, 203, 406

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,378,918,406, is 1.

Now, the common factors can be found like this.

873:3x 3x 97

378:2x 3x 3x 3x 7

918:2x 3x 3x 3x 17

406:2x 7x 29

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 3x 3x 3x 3x 3x 7 = 6804

Therefore, the value for common factors is 6804.

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 = 122991403752/(1x6804)

LCM = 122991403752/6804

LCM = 18076338

Thus, we can understand that the LCM of 873,378,918,406 is 18076338.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 873, 378, 918, 406

1. What is the LCM of 873, 378, 918, 406?

Answer: LCM of 873, 378, 918, 406 is 18076338.

2. How to calculate the LCM of 873, 378, 918, 406?

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 873, 378, 918, 406.

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}.