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LCM of 225, 715, 221, 111

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


Find the LCM of 225, 715, 221, 111 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 225, 715, 221, 111. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 225,715,221,111

Given numbers are 225,715,221,111

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

The LCM of 225,715,221,111 is 20238075.

Find LCM of 225,715,221,111 with Prime Factorization


3 225, 715, 221, 111
5 75, 715, 221, 37
13 15, 143, 221, 37
15, 11, 17, 37

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

3 x 5 x 13 x 15 x 11 x 17 x 37 = 20238075

Therefore, the lowest common multiple of 225,715,221,111 is 20238075.

LCM Formula to Find Lowest Common Multiple of 225,715,221,111

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.

225 x 715 x 221 x 111 = 3946424625

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.

225 : 1, 3, 5, 9, 15, 25, 45, 75, 225

715 : 1, 5, 11, 13, 55, 65, 143, 715

221 : 1, 13, 17, 221

111 : 1, 3, 37, 111

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 225,715,221,111, is 1.

Now, the common factors can be found like this.

225:3x 3x 5x 5

715:5x 11x 13

221:13x 17

111:3x 37

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

3x 5x 13 = 195

Therefore, the value for common factors is 195.

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 = 3946424625/(1x195)

LCM = 3946424625/195

LCM = 20238075

Thus, we can understand that the LCM of 225,715,221,111 is 20238075.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 225, 715, 221, 111

1. What is the LCM of 225, 715, 221, 111?

Answer: LCM of 225, 715, 221, 111 is 20238075.

2. How to calculate the LCM of 225, 715, 221, 111?

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 225, 715, 221, 111.

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}.