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LCM of 575, 196, 526, 805

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


Find the LCM of 575, 196, 526, 805 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 575, 196, 526, 805. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 575,196,526,805

Given numbers are 575,196,526,805

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

The LCM of 575,196,526,805 is 29640100.

Find LCM of 575,196,526,805 with Prime Factorization


2 575, 196, 526, 805
5 575, 98, 263, 805
7 115, 98, 263, 161
23 115, 14, 263, 23
5, 14, 263, 1

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

2 x 5 x 7 x 23 x 5 x 14 x 263 x 1 = 29640100

Therefore, the lowest common multiple of 575,196,526,805 is 29640100.

LCM Formula to Find Lowest Common Multiple of 575,196,526,805

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.

575 x 196 x 526 x 805 = 47720561000

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.

575 : 1, 5, 23, 25, 115, 575

196 : 1, 2, 4, 7, 14, 28, 49, 98, 196

526 : 1, 2, 263, 526

805 : 1, 5, 7, 23, 35, 115, 161, 805

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 575,196,526,805, is 1.

Now, the common factors can be found like this.

575:5x 5x 23

196:2x 2x 7x 7

526:2x 263

805:5x 7x 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 5x 7x 23 = 1610

Therefore, the value for common factors is 1610.

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 = 47720561000/(1x1610)

LCM = 47720561000/1610

LCM = 29640100

Thus, we can understand that the LCM of 575,196,526,805 is 29640100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 575, 196, 526, 805

1. What is the LCM of 575, 196, 526, 805?

Answer: LCM of 575, 196, 526, 805 is 29640100.

2. How to calculate the LCM of 575, 196, 526, 805?

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 575, 196, 526, 805.

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}.