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LCM of 309, 416, 955, 320, 244

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


Find the LCM of 309, 416, 955, 320, 244 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 309, 416, 955, 320, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 309,416,955,320,244

Given numbers are 309,416,955,320,244

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

The LCM of 309,416,955,320,244 is 14976661440.

Find LCM of 309,416,955,320,244 with Prime Factorization


2 309, 416, 955, 320, 244
2 309, 208, 955, 160, 122
2 309, 104, 955, 80, 61
2 309, 52, 955, 40, 61
2 309, 26, 955, 20, 61
5 309, 13, 955, 10, 61
309, 13, 191, 2, 61

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

2 x 2 x 2 x 2 x 2 x 5 x 309 x 13 x 191 x 2 x 61 = 14976661440

Therefore, the lowest common multiple of 309,416,955,320,244 is 14976661440.

LCM Formula to Find Lowest Common Multiple of 309,416,955,320,244

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.

309 x 416 x 955 x 320 x 244 = 9585063321600

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.

309 : 1, 3, 103, 309

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

955 : 1, 5, 191, 955

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

244 : 1, 2, 4, 61, 122, 244

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,416,955,320,244, is 1.

Now, the common factors can be found like this.

309:3x 103

416:2x 2x 2x 2x 2x 13

955:5x 191

320:2x 2x 2x 2x 2x 2x 5

244:2x 2x 61

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 2x 2x 2x 5 = 640

Therefore, the value for common factors is 640.

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 = 9585063321600/(1x640)

LCM = 9585063321600/640

LCM = 14976661440

Thus, we can understand that the LCM of 309,416,955,320,244 is 14976661440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 309, 416, 955, 320, 244

1. What is the LCM of 309, 416, 955, 320, 244?

Answer: LCM of 309, 416, 955, 320, 244 is 14976661440.

2. How to calculate the LCM of 309, 416, 955, 320, 244?

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 309, 416, 955, 320, 244.

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}.