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LCM of 378, 559, 638, 708, 843

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


Find the LCM of 378, 559, 638, 708, 843 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 378, 559, 638, 708, 843. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 378,559,638,708,843

Given numbers are 378,559,638,708,843

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

The LCM of 378,559,638,708,843 is 2235026197404.

Find LCM of 378,559,638,708,843 with Prime Factorization


2 378, 559, 638, 708, 843
3 189, 559, 319, 354, 843
63, 559, 319, 118, 281

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

2 x 3 x 63 x 559 x 319 x 118 x 281 = 2235026197404

Therefore, the lowest common multiple of 378,559,638,708,843 is 2235026197404.

LCM Formula to Find Lowest Common Multiple of 378,559,638,708,843

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.

378 x 559 x 638 x 708 x 843 = 80460943106544

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.

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

559 : 1, 13, 43, 559

638 : 1, 2, 11, 22, 29, 58, 319, 638

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

843 : 1, 3, 281, 843

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 378,559,638,708,843, is 1.

Now, the common factors can be found like this.

378:2x 3x 3x 3x 7

559:13x 43

638:2x 11x 29

708:2x 2x 3x 59

843:3x 281

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 3 = 36

Therefore, the value for common factors is 36.

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 = 80460943106544/(1x36)

LCM = 80460943106544/36

LCM = 2235026197404

Thus, we can understand that the LCM of 378,559,638,708,843 is 2235026197404.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 378, 559, 638, 708, 843

1. What is the LCM of 378, 559, 638, 708, 843?

Answer: LCM of 378, 559, 638, 708, 843 is 2235026197404.

2. How to calculate the LCM of 378, 559, 638, 708, 843?

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 378, 559, 638, 708, 843.

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}.