LCM of 786, 260, 415, 264, 335
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 260, 415, 264, 335 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 786, 260, 415, 264, 335. So, keep reading to learn more.
Given numbers are 786,260,415,264,335
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,260,415,264,335 is 12500905560.
Find LCM of 786,260,415,264,335 with Prime Factorization
| 2 | 786, 260, 415, 264, 335 |
| 2 | 393, 130, 415, 132, 335 |
| 3 | 393, 65, 415, 66, 335 |
| 5 | 131, 65, 415, 22, 335 |
| 131, 13, 83, 22, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 131 x 13 x 83 x 22 x 67 = 12500905560
Therefore, the lowest common multiple of 786,260,415,264,335 is 12500905560.
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.
786 x 260 x 415 x 264 x 335 = 7500543336000
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
415 : 1, 5, 83, 415
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
335 : 1, 5, 67, 335
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,260,415,264,335, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
260:2x 2x 5x 13
415:5x 83
264:2x 2x 2x 3x 11
335:5x 67
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 7500543336000/(1x600)
LCM = 7500543336000/600
LCM = 12500905560
Thus, we can understand that the LCM of 786,260,415,264,335 is 12500905560.
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FAQs on LCM of 786, 260, 415, 264, 335
1. What is the LCM of 786, 260, 415, 264, 335?
Answer: LCM of 786, 260, 415, 264, 335 is 12500905560.
2. How to calculate the LCM of 786, 260, 415, 264, 335?
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 786, 260, 415, 264, 335.
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}.