LCM of 826, 413, 135, 136, 381
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 826, 413, 135, 136, 381 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 826, 413, 135, 136, 381. So, keep reading to learn more.
Given numbers are 826,413,135,136,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 826,413,135,136,381 is 963000360.
Find LCM of 826,413,135,136,381 with Prime Factorization
| 2 | 826, 413, 135, 136, 381 |
| 3 | 413, 413, 135, 68, 381 |
| 7 | 413, 413, 45, 68, 127 |
| 59 | 59, 59, 45, 68, 127 |
| 1, 1, 45, 68, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 1 x 1 x 45 x 68 x 127 = 963000360
Therefore, the lowest common multiple of 826,413,135,136,381 is 963000360.
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.
826 x 413 x 135 x 136 x 381 = 2386314892080
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.
826 : 1, 2, 7, 14, 59, 118, 413, 826
413 : 1, 7, 59, 413
135 : 1, 3, 5, 9, 15, 27, 45, 135
136 : 1, 2, 4, 8, 17, 34, 68, 136
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 826,413,135,136,381, is 1.
Now, the common factors can be found like this.
826:2x 7x 59
413:7x 59
135:3x 3x 3x 5
136:2x 2x 2x 17
381:3x 127
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 59 = 2478
Therefore, the value for common factors is 2478.
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 = 2386314892080/(1x2478)
LCM = 2386314892080/2478
LCM = 963000360
Thus, we can understand that the LCM of 826,413,135,136,381 is 963000360.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 826, 413, 135, 136, 381
1. What is the LCM of 826, 413, 135, 136, 381?
Answer: LCM of 826, 413, 135, 136, 381 is 963000360.
2. How to calculate the LCM of 826, 413, 135, 136, 381?
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 826, 413, 135, 136, 381.
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}.