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LCM of 303, 759, 361, 772, 245

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


Find the LCM of 303, 759, 361, 772, 245 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 303, 759, 361, 772, 245. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 303,759,361,772,245

Given numbers are 303,759,361,772,245

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

The LCM of 303,759,361,772,245 is 5234241256860.

Find LCM of 303,759,361,772,245 with Prime Factorization


3 303, 759, 361, 772, 245
101, 253, 361, 772, 245

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

3 x 101 x 253 x 361 x 772 x 245 = 5234241256860

Therefore, the lowest common multiple of 303,759,361,772,245 is 5234241256860.

LCM Formula to Find Lowest Common Multiple of 303,759,361,772,245

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.

303 x 759 x 361 x 772 x 245 = 15702723770580

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.

303 : 1, 3, 101, 303

759 : 1, 3, 11, 23, 33, 69, 253, 759

361 : 1, 19, 361

772 : 1, 2, 4, 193, 386, 772

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 303,759,361,772,245, is 1.

Now, the common factors can be found like this.

303:3x 101

759:3x 11x 23

361:19x 19

772:2x 2x 193

245:5x 7x 7

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 = 15702723770580/(1x3)

LCM = 15702723770580/3

LCM = 5234241256860

Thus, we can understand that the LCM of 303,759,361,772,245 is 5234241256860.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 303, 759, 361, 772, 245

1. What is the LCM of 303, 759, 361, 772, 245?

Answer: LCM of 303, 759, 361, 772, 245 is 5234241256860.

2. How to calculate the LCM of 303, 759, 361, 772, 245?

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 303, 759, 361, 772, 245.

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}.