LCM of 299, 915, 589, 988, 826
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 299, 915, 589, 988, 826 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 299, 915, 589, 988, 826. So, keep reading to learn more.
Given numbers are 299,915,589,988,826
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 299,915,589,988,826 is 266205865380.
Find LCM of 299,915,589,988,826 with Prime Factorization
| 2 | 299, 915, 589, 988, 826 |
| 13 | 299, 915, 589, 494, 413 |
| 19 | 23, 915, 589, 38, 413 |
| 23, 915, 31, 2, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 23 x 915 x 31 x 2 x 413 = 266205865380
Therefore, the lowest common multiple of 299,915,589,988,826 is 266205865380.
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.
299 x 915 x 589 x 988 x 826 = 131505697497720
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.
299 : 1, 13, 23, 299
915 : 1, 3, 5, 15, 61, 183, 305, 915
589 : 1, 19, 31, 589
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
826 : 1, 2, 7, 14, 59, 118, 413, 826
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,915,589,988,826, is 1.
Now, the common factors can be found like this.
299:13x 23
915:3x 5x 61
589:19x 31
988:2x 2x 13x 19
826:2x 7x 59
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 19 = 494
Therefore, the value for common factors is 494.
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 = 131505697497720/(1x494)
LCM = 131505697497720/494
LCM = 266205865380
Thus, we can understand that the LCM of 299,915,589,988,826 is 266205865380.
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FAQs on LCM of 299, 915, 589, 988, 826
1. What is the LCM of 299, 915, 589, 988, 826?
Answer: LCM of 299, 915, 589, 988, 826 is 266205865380.
2. How to calculate the LCM of 299, 915, 589, 988, 826?
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 299, 915, 589, 988, 826.
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}.