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LCM of 526, 442, 797, 442, 300

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


Find the LCM of 526, 442, 797, 442, 300 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 526, 442, 797, 442, 300. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 526,442,797,442,300

Given numbers are 526,442,797,442,300

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

The LCM of 526,442,797,442,300 is 13897209300.

Find LCM of 526,442,797,442,300 with Prime Factorization


2 526, 442, 797, 442, 300
13 263, 221, 797, 221, 150
17 263, 17, 797, 17, 150
263, 1, 797, 1, 150

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

2 x 13 x 17 x 263 x 1 x 797 x 1 x 150 = 13897209300

Therefore, the lowest common multiple of 526,442,797,442,300 is 13897209300.

LCM Formula to Find Lowest Common Multiple of 526,442,797,442,300

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.

526 x 442 x 797 x 442 x 300 = 24570266042400

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.

526 : 1, 2, 263, 526

442 : 1, 2, 13, 17, 26, 34, 221, 442

797 : 1, 797

442 : 1, 2, 13, 17, 26, 34, 221, 442

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 526,442,797,442,300, is 1.

Now, the common factors can be found like this.

526:2x 263

442:2x 13x 17

797:797

442:2x 13x 17

300:2x 2x 3x 5x 5

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 13x 17 = 1768

Therefore, the value for common factors is 1768.

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 = 24570266042400/(1x1768)

LCM = 24570266042400/1768

LCM = 13897209300

Thus, we can understand that the LCM of 526,442,797,442,300 is 13897209300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 526, 442, 797, 442, 300

1. What is the LCM of 526, 442, 797, 442, 300?

Answer: LCM of 526, 442, 797, 442, 300 is 13897209300.

2. How to calculate the LCM of 526, 442, 797, 442, 300?

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 526, 442, 797, 442, 300.

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}.