LCM of 259, 287, 146, 271, 820
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 287, 146, 271, 820 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 259, 287, 146, 271, 820. So, keep reading to learn more.
Given numbers are 259,287,146,271,820
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,287,146,271,820 is 4201513540.
Find LCM of 259,287,146,271,820 with Prime Factorization
| 2 | 259, 287, 146, 271, 820 |
| 7 | 259, 287, 73, 271, 410 |
| 41 | 37, 41, 73, 271, 410 |
| 37, 1, 73, 271, 10 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 37 x 1 x 73 x 271 x 10 = 4201513540
Therefore, the lowest common multiple of 259,287,146,271,820 is 4201513540.
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.
259 x 287 x 146 x 271 x 820 = 2411668771960
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.
259 : 1, 7, 37, 259
287 : 1, 7, 41, 287
146 : 1, 2, 73, 146
271 : 1, 271
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,287,146,271,820, is 1.
Now, the common factors can be found like this.
259:7x 37
287:7x 41
146:2x 73
271:271
820:2x 2x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 41 = 574
Therefore, the value for common factors is 574.
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 = 2411668771960/(1x574)
LCM = 2411668771960/574
LCM = 4201513540
Thus, we can understand that the LCM of 259,287,146,271,820 is 4201513540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 287, 146, 271, 820
1. What is the LCM of 259, 287, 146, 271, 820?
Answer: LCM of 259, 287, 146, 271, 820 is 4201513540.
2. How to calculate the LCM of 259, 287, 146, 271, 820?
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 259, 287, 146, 271, 820.
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}.