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LCM of 515, 380, 940, 770, 314

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


Find the LCM of 515, 380, 940, 770, 314 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 515, 380, 940, 770, 314. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 515,380,940,770,314

Given numbers are 515,380,940,770,314

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

The LCM of 515,380,940,770,314 is 22238682620.

Find LCM of 515,380,940,770,314 with Prime Factorization


2 515, 380, 940, 770, 314
2 515, 190, 470, 385, 157
5 515, 95, 235, 385, 157
103, 19, 47, 77, 157

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

2 x 2 x 5 x 103 x 19 x 47 x 77 x 157 = 22238682620

Therefore, the lowest common multiple of 515,380,940,770,314 is 22238682620.

LCM Formula to Find Lowest Common Multiple of 515,380,940,770,314

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.

515 x 380 x 940 x 770 x 314 = 44477365240000

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.

515 : 1, 5, 103, 515

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

314 : 1, 2, 157, 314

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,380,940,770,314, is 1.

Now, the common factors can be found like this.

515:5x 103

380:2x 2x 5x 19

940:2x 2x 5x 47

770:2x 5x 7x 11

314:2x 157

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 2x 2x 5x 5x 5 = 2000

Therefore, the value for common factors is 2000.

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 = 44477365240000/(1x2000)

LCM = 44477365240000/2000

LCM = 22238682620

Thus, we can understand that the LCM of 515,380,940,770,314 is 22238682620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 515, 380, 940, 770, 314

1. What is the LCM of 515, 380, 940, 770, 314?

Answer: LCM of 515, 380, 940, 770, 314 is 22238682620.

2. How to calculate the LCM of 515, 380, 940, 770, 314?

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 515, 380, 940, 770, 314.

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}.