LCM of 104, 205, 861, 739, 260
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 104, 205, 861, 739, 260 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 104, 205, 861, 739, 260. So, keep reading to learn more.
Given numbers are 104,205,861,739,260
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,205,861,739,260 is 330865080.
Find LCM of 104,205,861,739,260 with Prime Factorization
| 2 | 104, 205, 861, 739, 260 |
| 2 | 52, 205, 861, 739, 130 |
| 5 | 26, 205, 861, 739, 65 |
| 13 | 26, 41, 861, 739, 13 |
| 41 | 2, 41, 861, 739, 1 |
| 2, 1, 21, 739, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 41 x 2 x 1 x 21 x 739 x 1 = 330865080
Therefore, the lowest common multiple of 104,205,861,739,260 is 330865080.
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.
104 x 205 x 861 x 739 x 260 = 3527021752800
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
205 : 1, 5, 41, 205
861 : 1, 3, 7, 21, 41, 123, 287, 861
739 : 1, 739
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,205,861,739,260, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
205:5x 41
861:3x 7x 41
739:739
260:2x 2x 5x 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 5x 13x 41 = 10660
Therefore, the value for common factors is 10660.
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 = 3527021752800/(1x10660)
LCM = 3527021752800/10660
LCM = 330865080
Thus, we can understand that the LCM of 104,205,861,739,260 is 330865080.
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FAQs on LCM of 104, 205, 861, 739, 260
1. What is the LCM of 104, 205, 861, 739, 260?
Answer: LCM of 104, 205, 861, 739, 260 is 330865080.
2. How to calculate the LCM of 104, 205, 861, 739, 260?
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 104, 205, 861, 739, 260.
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}.