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LCM of 522, 625, 895, 203

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


Find the LCM of 522, 625, 895, 203 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 522, 625, 895, 203. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,625,895,203

Given numbers are 522,625,895,203

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

The LCM of 522,625,895,203 is 408791250.

Find LCM of 522,625,895,203 with Prime Factorization


5 522, 625, 895, 203
29 522, 125, 179, 203
18, 125, 179, 7

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

5 x 29 x 18 x 125 x 179 x 7 = 408791250

Therefore, the lowest common multiple of 522,625,895,203 is 408791250.

LCM Formula to Find Lowest Common Multiple of 522,625,895,203

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.

522 x 625 x 895 x 203 = 59274731250

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

625 : 1, 5, 25, 125, 625

895 : 1, 5, 179, 895

203 : 1, 7, 29, 203

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,625,895,203, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

625:5x 5x 5x 5

895:5x 179

203:7x 29

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

5x 29 = 145

Therefore, the value for common factors is 145.

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 = 59274731250/(1x145)

LCM = 59274731250/145

LCM = 408791250

Thus, we can understand that the LCM of 522,625,895,203 is 408791250.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 522, 625, 895, 203

1. What is the LCM of 522, 625, 895, 203?

Answer: LCM of 522, 625, 895, 203 is 408791250.

2. How to calculate the LCM of 522, 625, 895, 203?

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 522, 625, 895, 203.

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}.