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LCM of 880, 298, 595, 816, 447

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


Find the LCM of 880, 298, 595, 816, 447 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 880, 298, 595, 816, 447. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 880,298,595,816,447

Given numbers are 880,298,595,816,447

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

The LCM of 880,298,595,816,447 is 46809840.

Find LCM of 880,298,595,816,447 with Prime Factorization


2 880, 298, 595, 816, 447
2 440, 149, 595, 408, 447
2 220, 149, 595, 204, 447
2 110, 149, 595, 102, 447
3 55, 149, 595, 51, 447
5 55, 149, 595, 17, 149
17 11, 149, 119, 17, 149
149 11, 149, 7, 1, 149
11, 1, 7, 1, 1

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

2 x 2 x 2 x 2 x 3 x 5 x 17 x 149 x 11 x 1 x 7 x 1 x 1 = 46809840

Therefore, the lowest common multiple of 880,298,595,816,447 is 46809840.

LCM Formula to Find Lowest Common Multiple of 880,298,595,816,447

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.

880 x 298 x 595 x 816 x 447 = 56913275865600

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.

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

298 : 1, 2, 149, 298

595 : 1, 5, 7, 17, 35, 85, 119, 595

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

447 : 1, 3, 149, 447

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 880,298,595,816,447, is 1.

Now, the common factors can be found like this.

880:2x 2x 2x 2x 5x 11

298:2x 149

595:5x 7x 17

816:2x 2x 2x 2x 3x 17

447:3x 149

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 3x 5x 17x 149 = 1215840

Therefore, the value for common factors is 1215840.

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 = 56913275865600/(1x1215840)

LCM = 56913275865600/1215840

LCM = 46809840

Thus, we can understand that the LCM of 880,298,595,816,447 is 46809840.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 880, 298, 595, 816, 447

1. What is the LCM of 880, 298, 595, 816, 447?

Answer: LCM of 880, 298, 595, 816, 447 is 46809840.

2. How to calculate the LCM of 880, 298, 595, 816, 447?

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 880, 298, 595, 816, 447.

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}.