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LCM of 227, 370, 114, 820, 617

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


Find the LCM of 227, 370, 114, 820, 617 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 227, 370, 114, 820, 617. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 227,370,114,820,617

Given numbers are 227,370,114,820,617

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

The LCM of 227,370,114,820,617 is 242215233420.

Find LCM of 227,370,114,820,617 with Prime Factorization


2 227, 370, 114, 820, 617
5 227, 185, 57, 410, 617
227, 37, 57, 82, 617

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

2 x 5 x 227 x 37 x 57 x 82 x 617 = 242215233420

Therefore, the lowest common multiple of 227,370,114,820,617 is 242215233420.

LCM Formula to Find Lowest Common Multiple of 227,370,114,820,617

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.

227 x 370 x 114 x 820 x 617 = 4844304668400

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.

227 : 1, 227

370 : 1, 2, 5, 10, 37, 74, 185, 370

114 : 1, 2, 3, 6, 19, 38, 57, 114

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,370,114,820,617, is 1.

Now, the common factors can be found like this.

227:227

370:2x 5x 37

114:2x 3x 19

820:2x 2x 5x 41

617:617

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 5 = 20

Therefore, the value for common factors is 20.

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 = 4844304668400/(1x20)

LCM = 4844304668400/20

LCM = 242215233420

Thus, we can understand that the LCM of 227,370,114,820,617 is 242215233420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 227, 370, 114, 820, 617

1. What is the LCM of 227, 370, 114, 820, 617?

Answer: LCM of 227, 370, 114, 820, 617 is 242215233420.

2. How to calculate the LCM of 227, 370, 114, 820, 617?

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 227, 370, 114, 820, 617.

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}.