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LCM of 244, 475, 953, 440, 244

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


Find the LCM of 244, 475, 953, 440, 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 244, 475, 953, 440, 244. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 244,475,953,440,244

Given numbers are 244,475,953,440,244

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

The LCM of 244,475,953,440,244 is 2429959400.

Find LCM of 244,475,953,440,244 with Prime Factorization


2 244, 475, 953, 440, 244
2 122, 475, 953, 220, 122
5 61, 475, 953, 110, 61
61 61, 95, 953, 22, 61
1, 95, 953, 22, 1

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

2 x 2 x 5 x 61 x 1 x 95 x 953 x 22 x 1 = 2429959400

Therefore, the lowest common multiple of 244,475,953,440,244 is 2429959400.

LCM Formula to Find Lowest Common Multiple of 244,475,953,440,244

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.

244 x 475 x 953 x 440 x 244 = 11858201872000

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.

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

475 : 1, 5, 19, 25, 95, 475

953 : 1, 953

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

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 244,475,953,440,244, is 1.

Now, the common factors can be found like this.

244:2x 2x 61

475:5x 5x 19

953:953

440:2x 2x 2x 5x 11

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 5x 61 = 4880

Therefore, the value for common factors is 4880.

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 = 11858201872000/(1x4880)

LCM = 11858201872000/4880

LCM = 2429959400

Thus, we can understand that the LCM of 244,475,953,440,244 is 2429959400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 244, 475, 953, 440, 244

1. What is the LCM of 244, 475, 953, 440, 244?

Answer: LCM of 244, 475, 953, 440, 244 is 2429959400.

2. How to calculate the LCM of 244, 475, 953, 440, 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 244, 475, 953, 440, 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}.