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LCM of 559, 780, 273, 850, 257

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


Find the LCM of 559, 780, 273, 850, 257 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 559, 780, 273, 850, 257. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 559,780,273,850,257

Given numbers are 559,780,273,850,257

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

The LCM of 559,780,273,850,257 is 5128769100.

Find LCM of 559,780,273,850,257 with Prime Factorization


2 559, 780, 273, 850, 257
3 559, 390, 273, 425, 257
5 559, 130, 91, 425, 257
13 559, 26, 91, 85, 257
43, 2, 7, 85, 257

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

2 x 3 x 5 x 13 x 43 x 2 x 7 x 85 x 257 = 5128769100

Therefore, the lowest common multiple of 559,780,273,850,257 is 5128769100.

LCM Formula to Find Lowest Common Multiple of 559,780,273,850,257

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.

559 x 780 x 273 x 850 x 257 = 26002859337000

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.

559 : 1, 13, 43, 559

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

273 : 1, 3, 7, 13, 21, 39, 91, 273

850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

257 : 1, 257

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 559,780,273,850,257, is 1.

Now, the common factors can be found like this.

559:13x 43

780:2x 2x 3x 5x 13

273:3x 7x 13

850:2x 5x 5x 17

257:257

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

2x 3x 5x 13x 13 = 5070

Therefore, the value for common factors is 5070.

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 = 26002859337000/(1x5070)

LCM = 26002859337000/5070

LCM = 5128769100

Thus, we can understand that the LCM of 559,780,273,850,257 is 5128769100.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 559, 780, 273, 850, 257

1. What is the LCM of 559, 780, 273, 850, 257?

Answer: LCM of 559, 780, 273, 850, 257 is 5128769100.

2. How to calculate the LCM of 559, 780, 273, 850, 257?

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 559, 780, 273, 850, 257.

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}.