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LCM of 644, 884, 595, 652

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


Find the LCM of 644, 884, 595, 652 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, 884, 595, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 644,884,595,652

Given numbers are 644,884,595,652

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

The LCM of 644,884,595,652 is 115994060.

Find LCM of 644,884,595,652 with Prime Factorization


2 644, 884, 595, 652
2 322, 442, 595, 326
7 161, 221, 595, 163
17 23, 221, 85, 163
23, 13, 5, 163

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

2 x 2 x 7 x 17 x 23 x 13 x 5 x 163 = 115994060

Therefore, the lowest common multiple of 644,884,595,652 is 115994060.

LCM Formula to Find Lowest Common Multiple of 644,884,595,652

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 884 x 595 x 652 = 220852690240

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

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

595 : 1, 5, 7, 17, 35, 85, 119, 595

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,884,595,652, is 1.

Now, the common factors can be found like this.

644:2x 2x 7x 23

884:2x 2x 13x 17

595:5x 7x 17

652:2x 2x 163

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 2x 7x 17 = 1904

Therefore, the value for common factors is 1904.

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 = 220852690240/(1x1904)

LCM = 220852690240/1904

LCM = 115994060

Thus, we can understand that the LCM of 644,884,595,652 is 115994060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 644, 884, 595, 652

1. What is the LCM of 644, 884, 595, 652?

Answer: LCM of 644, 884, 595, 652 is 115994060.

2. How to calculate the LCM of 644, 884, 595, 652?

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, 884, 595, 652.

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}.