LCM of 838, 399, 686, 576, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 399, 686, 576, 221 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 838, 399, 686, 576, 221. So, keep reading to learn more.
Given numbers are 838,399,686,576,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,399,686,576,221 is 347597385408.
Find LCM of 838,399,686,576,221 with Prime Factorization
| 2 | 838, 399, 686, 576, 221 |
| 3 | 419, 399, 343, 288, 221 |
| 7 | 419, 133, 343, 96, 221 |
| 419, 19, 49, 96, 221 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 419 x 19 x 49 x 96 x 221 = 347597385408
Therefore, the lowest common multiple of 838,399,686,576,221 is 347597385408.
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.
838 x 399 x 686 x 576 x 221 = 29198180374272
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.
838 : 1, 2, 419, 838
399 : 1, 3, 7, 19, 21, 57, 133, 399
686 : 1, 2, 7, 14, 49, 98, 343, 686
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,399,686,576,221, is 1.
Now, the common factors can be found like this.
838:2x 419
399:3x 7x 19
686:2x 7x 7x 7
576:2x 2x 2x 2x 2x 2x 3x 3
221:13x 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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 29198180374272/(1x84)
LCM = 29198180374272/84
LCM = 347597385408
Thus, we can understand that the LCM of 838,399,686,576,221 is 347597385408.
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FAQs on LCM of 838, 399, 686, 576, 221
1. What is the LCM of 838, 399, 686, 576, 221?
Answer: LCM of 838, 399, 686, 576, 221 is 347597385408.
2. How to calculate the LCM of 838, 399, 686, 576, 221?
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 838, 399, 686, 576, 221.
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}.