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LCM of 221, 327, 245, 654

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


Find the LCM of 221, 327, 245, 654 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 221, 327, 245, 654. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 221,327,245,654

Given numbers are 221,327,245,654

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

The LCM of 221,327,245,654 is 35410830.

Find LCM of 221,327,245,654 with Prime Factorization


3 221, 327, 245, 654
109 221, 109, 245, 218
221, 1, 245, 2

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

3 x 109 x 221 x 1 x 245 x 2 = 35410830

Therefore, the lowest common multiple of 221,327,245,654 is 35410830.

LCM Formula to Find Lowest Common Multiple of 221,327,245,654

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.

221 x 327 x 245 x 654 = 11579341410

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.

221 : 1, 13, 17, 221

327 : 1, 3, 109, 327

245 : 1, 5, 7, 35, 49, 245

654 : 1, 2, 3, 6, 109, 218, 327, 654

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 221,327,245,654, is 1.

Now, the common factors can be found like this.

221:13x 17

327:3x 109

245:5x 7x 7

654:2x 3x 109

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

3x 109 = 327

Therefore, the value for common factors is 327.

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 = 11579341410/(1x327)

LCM = 11579341410/327

LCM = 35410830

Thus, we can understand that the LCM of 221,327,245,654 is 35410830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 221, 327, 245, 654

1. What is the LCM of 221, 327, 245, 654?

Answer: LCM of 221, 327, 245, 654 is 35410830.

2. How to calculate the LCM of 221, 327, 245, 654?

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 221, 327, 245, 654.

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}.