LCM of 260, 549, 802, 580, 395
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 549, 802, 580, 395 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, 549, 802, 580, 395. So, keep reading to learn more.
Given numbers are 260,549,802,580,395
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,549,802,580,395 is 131133953340.
Find LCM of 260,549,802,580,395 with Prime Factorization
| 2 | 260, 549, 802, 580, 395 |
| 2 | 130, 549, 401, 290, 395 |
| 5 | 65, 549, 401, 145, 395 |
| 13, 549, 401, 29, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 549 x 401 x 29 x 79 = 131133953340
Therefore, the lowest common multiple of 260,549,802,580,395 is 131133953340.
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 549 x 802 x 580 x 395 = 26226790668000
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
549 : 1, 3, 9, 61, 183, 549
802 : 1, 2, 401, 802
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
395 : 1, 5, 79, 395
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,549,802,580,395, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
549:3x 3x 61
802:2x 401
580:2x 2x 5x 29
395:5x 79
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 5x 5 = 200
Therefore, the value for common factors is 200.
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 = 26226790668000/(1x200)
LCM = 26226790668000/200
LCM = 131133953340
Thus, we can understand that the LCM of 260,549,802,580,395 is 131133953340.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 549, 802, 580, 395
1. What is the LCM of 260, 549, 802, 580, 395?
Answer: LCM of 260, 549, 802, 580, 395 is 131133953340.
2. How to calculate the LCM of 260, 549, 802, 580, 395?
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, 549, 802, 580, 395.
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}.