LCM of 260, 780, 897, 273
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 780, 897, 273 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 260, 780, 897, 273. So, keep reading to learn more.
Given numbers are 260,780,897,273
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,780,897,273 is 125580.
Find LCM of 260,780,897,273 with Prime Factorization
| 2 | 260, 780, 897, 273 |
| 2 | 130, 390, 897, 273 |
| 3 | 65, 195, 897, 273 |
| 5 | 65, 65, 299, 91 |
| 13 | 13, 13, 299, 91 |
| 1, 1, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 1 x 1 x 23 x 7 = 125580
Therefore, the lowest common multiple of 260,780,897,273 is 125580.
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.
260 x 780 x 897 x 273 = 49661866800
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
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
897 : 1, 3, 13, 23, 39, 69, 299, 897
273 : 1, 3, 7, 13, 21, 39, 91, 273
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,780,897,273, is 13.
Now, the common factors can be found like this.
260:2x 2x 5x 13
780:2x 2x 3x 5x 13
897:3x 13x 23
273:3x 7x 13
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 3x 3x 5x 13x 13 = 30420
Therefore, the value for common factors is 30420.
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 = 49661866800/(13x30420)
LCM = 49661866800/395460
LCM = 125580
Thus, we can understand that the LCM of 260,780,897,273 is 125580.
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FAQs on LCM of 260, 780, 897, 273
1. What is the LCM of 260, 780, 897, 273?
Answer: LCM of 260, 780, 897, 273 is 125580.
2. How to calculate the LCM of 260, 780, 897, 273?
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 260, 780, 897, 273.
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}.