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LCM of 925, 305, 103, 506, 515

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


Find the LCM of 925, 305, 103, 506, 515 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 925, 305, 103, 506, 515. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,305,103,506,515

Given numbers are 925,305,103,506,515

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

The LCM of 925,305,103,506,515 is 2940758150.

Find LCM of 925,305,103,506,515 with Prime Factorization


5 925, 305, 103, 506, 515
103 185, 61, 103, 506, 103
185, 61, 1, 506, 1

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

5 x 103 x 185 x 61 x 1 x 506 x 1 = 2940758150

Therefore, the lowest common multiple of 925,305,103,506,515 is 2940758150.

LCM Formula to Find Lowest Common Multiple of 925,305,103,506,515

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.

925 x 305 x 103 x 506 x 515 = 7572452236250

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.

925 : 1, 5, 25, 37, 185, 925

305 : 1, 5, 61, 305

103 : 1, 103

506 : 1, 2, 11, 22, 23, 46, 253, 506

515 : 1, 5, 103, 515

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,305,103,506,515, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

305:5x 61

103:103

506:2x 11x 23

515:5x 103

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

5x 5x 103 = 2575

Therefore, the value for common factors is 2575.

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 = 7572452236250/(1x2575)

LCM = 7572452236250/2575

LCM = 2940758150

Thus, we can understand that the LCM of 925,305,103,506,515 is 2940758150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 305, 103, 506, 515

1. What is the LCM of 925, 305, 103, 506, 515?

Answer: LCM of 925, 305, 103, 506, 515 is 2940758150.

2. How to calculate the LCM of 925, 305, 103, 506, 515?

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 925, 305, 103, 506, 515.

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}.