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LCM of 844, 642, 669, 138, 867

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


Find the LCM of 844, 642, 669, 138, 867 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 844, 642, 669, 138, 867. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 844,642,669,138,867

Given numbers are 844,642,669,138,867

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

The LCM of 844,642,669,138,867 is 401585497644.

Find LCM of 844,642,669,138,867 with Prime Factorization


2 844, 642, 669, 138, 867
3 422, 321, 669, 69, 867
422, 107, 223, 23, 289

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

2 x 3 x 422 x 107 x 223 x 23 x 289 = 401585497644

Therefore, the lowest common multiple of 844,642,669,138,867 is 401585497644.

LCM Formula to Find Lowest Common Multiple of 844,642,669,138,867

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.

844 x 642 x 669 x 138 x 867 = 43371233745552

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.

844 : 1, 2, 4, 211, 422, 844

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

669 : 1, 3, 223, 669

138 : 1, 2, 3, 6, 23, 46, 69, 138

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 844,642,669,138,867, is 1.

Now, the common factors can be found like this.

844:2x 2x 211

642:2x 3x 107

669:3x 223

138:2x 3x 23

867:3x 17x 17

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 3 = 108

Therefore, the value for common factors is 108.

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 = 43371233745552/(1x108)

LCM = 43371233745552/108

LCM = 401585497644

Thus, we can understand that the LCM of 844,642,669,138,867 is 401585497644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 844, 642, 669, 138, 867

1. What is the LCM of 844, 642, 669, 138, 867?

Answer: LCM of 844, 642, 669, 138, 867 is 401585497644.

2. How to calculate the LCM of 844, 642, 669, 138, 867?

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 844, 642, 669, 138, 867.

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}.