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LCM of 191, 445, 445, 525

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


Find the LCM of 191, 445, 445, 525 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 191, 445, 445, 525. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 191,445,445,525

Given numbers are 191,445,445,525

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

The LCM of 191,445,445,525 is 8924475.

Find LCM of 191,445,445,525 with Prime Factorization


5 191, 445, 445, 525
89 191, 89, 89, 105
191, 1, 1, 105

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

5 x 89 x 191 x 1 x 1 x 105 = 8924475

Therefore, the lowest common multiple of 191,445,445,525 is 8924475.

LCM Formula to Find Lowest Common Multiple of 191,445,445,525

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.

191 x 445 x 445 x 525 = 19856956875

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.

191 : 1, 191

445 : 1, 5, 89, 445

445 : 1, 5, 89, 445

525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 191,445,445,525, is 1.

Now, the common factors can be found like this.

191:191

445:5x 89

445:5x 89

525:3x 5x 5x 7

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

5x 5x 89 = 2225

Therefore, the value for common factors is 2225.

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 = 19856956875/(1x2225)

LCM = 19856956875/2225

LCM = 8924475

Thus, we can understand that the LCM of 191,445,445,525 is 8924475.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 191, 445, 445, 525

1. What is the LCM of 191, 445, 445, 525?

Answer: LCM of 191, 445, 445, 525 is 8924475.

2. How to calculate the LCM of 191, 445, 445, 525?

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 191, 445, 445, 525.

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}.