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LCM of 187, 441, 642, 219, 798

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


Find the LCM of 187, 441, 642, 219, 798 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 187, 441, 642, 219, 798. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 187,441,642,219,798

Given numbers are 187,441,642,219,798

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

The LCM of 187,441,642,219,798 is 24477690006.

Find LCM of 187,441,642,219,798 with Prime Factorization


2 187, 441, 642, 219, 798
3 187, 441, 321, 219, 399
7 187, 147, 107, 73, 133
187, 21, 107, 73, 19

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

2 x 3 x 7 x 187 x 21 x 107 x 73 x 19 = 24477690006

Therefore, the lowest common multiple of 187,441,642,219,798 is 24477690006.

LCM Formula to Find Lowest Common Multiple of 187,441,642,219,798

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.

187 x 441 x 642 x 219 x 798 = 9252566822268

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.

187 : 1, 11, 17, 187

441 : 1, 3, 7, 9, 21, 49, 63, 147, 441

642 : 1, 2, 3, 6, 107, 214, 321, 642

219 : 1, 3, 73, 219

798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,441,642,219,798, is 1.

Now, the common factors can be found like this.

187:11x 17

441:3x 3x 7x 7

642:2x 3x 107

219:3x 73

798:2x 3x 7x 19

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

2x 3x 3x 3x 7 = 378

Therefore, the value for common factors is 378.

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 = 9252566822268/(1x378)

LCM = 9252566822268/378

LCM = 24477690006

Thus, we can understand that the LCM of 187,441,642,219,798 is 24477690006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 187, 441, 642, 219, 798

1. What is the LCM of 187, 441, 642, 219, 798?

Answer: LCM of 187, 441, 642, 219, 798 is 24477690006.

2. How to calculate the LCM of 187, 441, 642, 219, 798?

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 187, 441, 642, 219, 798.

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}.