LCM of 260, 107, 806, 247, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 107, 806, 247, 859 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, 107, 806, 247, 859. So, keep reading to learn more.
Given numbers are 260,107,806,247,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,107,806,247,859 is 14075556820.
Find LCM of 260,107,806,247,859 with Prime Factorization
| 2 | 260, 107, 806, 247, 859 |
| 13 | 130, 107, 403, 247, 859 |
| 10, 107, 31, 19, 859 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 10 x 107 x 31 x 19 x 859 = 14075556820
Therefore, the lowest common multiple of 260,107,806,247,859 is 14075556820.
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 107 x 806 x 247 x 859 = 4757538205160
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
107 : 1, 107
806 : 1, 2, 13, 26, 31, 62, 403, 806
247 : 1, 13, 19, 247
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,107,806,247,859, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
107:107
806:2x 13x 31
247:13x 19
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 4757538205160/(1x338)
LCM = 4757538205160/338
LCM = 14075556820
Thus, we can understand that the LCM of 260,107,806,247,859 is 14075556820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 260, 107, 806, 247, 859
1. What is the LCM of 260, 107, 806, 247, 859?
Answer: LCM of 260, 107, 806, 247, 859 is 14075556820.
2. How to calculate the LCM of 260, 107, 806, 247, 859?
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, 107, 806, 247, 859.
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}.