LCM of 260, 414, 166, 120, 867
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 414, 166, 120, 867 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, 414, 166, 120, 867. So, keep reading to learn more.
Given numbers are 260,414,166,120,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,414,166,120,867 is 2581960680.
Find LCM of 260,414,166,120,867 with Prime Factorization
| 2 | 260, 414, 166, 120, 867 |
| 2 | 130, 207, 83, 60, 867 |
| 3 | 65, 207, 83, 30, 867 |
| 5 | 65, 69, 83, 10, 289 |
| 13, 69, 83, 2, 289 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 69 x 83 x 2 x 289 = 2581960680
Therefore, the lowest common multiple of 260,414,166,120,867 is 2581960680.
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 414 x 166 x 120 x 867 = 1859011689600
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
166 : 1, 2, 83, 166
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,414,166,120,867, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
414:2x 3x 3x 23
166:2x 83
120:2x 2x 2x 3x 5
867:3x 17x 17
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 2x 3x 3x 5 = 720
Therefore, the value for common factors is 720.
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 = 1859011689600/(1x720)
LCM = 1859011689600/720
LCM = 2581960680
Thus, we can understand that the LCM of 260,414,166,120,867 is 2581960680.
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FAQs on LCM of 260, 414, 166, 120, 867
1. What is the LCM of 260, 414, 166, 120, 867?
Answer: LCM of 260, 414, 166, 120, 867 is 2581960680.
2. How to calculate the LCM of 260, 414, 166, 120, 867?
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, 414, 166, 120, 867.
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}.