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LCM of 644, 488, 857, 138

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


Find the LCM of 644, 488, 857, 138 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 644, 488, 857, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,488,857,138

Given numbers are 644,488,857,138

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

The LCM of 644,488,857,138 is 201998328.

Find LCM of 644,488,857,138 with Prime Factorization


2 644, 488, 857, 138
2 322, 244, 857, 69
23 161, 122, 857, 69
7, 122, 857, 3

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

2 x 2 x 23 x 7 x 122 x 857 x 3 = 201998328

Therefore, the lowest common multiple of 644,488,857,138 is 201998328.

LCM Formula to Find Lowest Common Multiple of 644,488,857,138

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.

644 x 488 x 857 x 138 = 37167692352

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.

644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

488 : 1, 2, 4, 8, 61, 122, 244, 488

857 : 1, 857

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,488,857,138, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

488:2x 2x 2x 61

857:857

138:2x 3x 23

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 2x 23 = 184

Therefore, the value for common factors is 184.

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 = 37167692352/(1x184)

LCM = 37167692352/184

LCM = 201998328

Thus, we can understand that the LCM of 644,488,857,138 is 201998328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 488, 857, 138

1. What is the LCM of 644, 488, 857, 138?

Answer: LCM of 644, 488, 857, 138 is 201998328.

2. How to calculate the LCM of 644, 488, 857, 138?

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 644, 488, 857, 138.

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}.