LCM of 796, 289, 221, 561, 299
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 796, 289, 221, 561, 299 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 796, 289, 221, 561, 299. So, keep reading to learn more.
Given numbers are 796,289,221,561,299
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 796,289,221,561,299 is 2269844148.
Find LCM of 796,289,221,561,299 with Prime Factorization
| 13 | 796, 289, 221, 561, 299 |
| 17 | 796, 289, 17, 561, 23 |
| 796, 1, 17, 33, 23 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 796 x 1 x 17 x 33 x 23 = 2269844148
Therefore, the lowest common multiple of 796,289,221,561,299 is 2269844148.
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.
796 x 289 x 221 x 561 x 299 = 8527804464036
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.
796 : 1, 2, 4, 199, 398, 796
289 : 1, 17, 289
221 : 1, 13, 17, 221
561 : 1, 3, 11, 17, 33, 51, 187, 561
299 : 1, 13, 23, 299
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 796,289,221,561,299, is 1.
Now, the common factors can be found like this.
796:2x 2x 199
289:17x 17
221:13x 17
561:3x 11x 17
299:13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17x 17 = 3757
Therefore, the value for common factors is 3757.
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 = 8527804464036/(1x3757)
LCM = 8527804464036/3757
LCM = 2269844148
Thus, we can understand that the LCM of 796,289,221,561,299 is 2269844148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 796, 289, 221, 561, 299
1. What is the LCM of 796, 289, 221, 561, 299?
Answer: LCM of 796, 289, 221, 561, 299 is 2269844148.
2. How to calculate the LCM of 796, 289, 221, 561, 299?
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 796, 289, 221, 561, 299.
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}.