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LCM of 907, 309, 313, 510, 227

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


Find the LCM of 907, 309, 313, 510, 227 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 907, 309, 313, 510, 227. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,309,313,510,227

Given numbers are 907,309,313,510,227

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

The LCM of 907,309,313,510,227 is 3385204290210.

Find LCM of 907,309,313,510,227 with Prime Factorization


3 907, 309, 313, 510, 227
907, 103, 313, 170, 227

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

3 x 907 x 103 x 313 x 170 x 227 = 3385204290210

Therefore, the lowest common multiple of 907,309,313,510,227 is 3385204290210.

LCM Formula to Find Lowest Common Multiple of 907,309,313,510,227

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.

907 x 309 x 313 x 510 x 227 = 10155612870630

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.

907 : 1, 907

309 : 1, 3, 103, 309

313 : 1, 313

510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

227 : 1, 227

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,309,313,510,227, is 1.

Now, the common factors can be found like this.

907:907

309:3x 103

313:313

510:2x 3x 5x 17

227:227

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

3 = 3

Therefore, the value for common factors is 3.

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 = 10155612870630/(1x3)

LCM = 10155612870630/3

LCM = 3385204290210

Thus, we can understand that the LCM of 907,309,313,510,227 is 3385204290210.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 309, 313, 510, 227

1. What is the LCM of 907, 309, 313, 510, 227?

Answer: LCM of 907, 309, 313, 510, 227 is 3385204290210.

2. How to calculate the LCM of 907, 309, 313, 510, 227?

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 907, 309, 313, 510, 227.

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}.