LCM of 838, 136, 214, 979, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 838, 136, 214, 979, 480 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, 136, 214, 979, 480. So, keep reading to learn more.
Given numbers are 838,136,214,979,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 838,136,214,979,480 is 358154697120.
Find LCM of 838,136,214,979,480 with Prime Factorization
| 2 | 838, 136, 214, 979, 480 |
| 2 | 419, 68, 107, 979, 240 |
| 2 | 419, 34, 107, 979, 120 |
| 419, 17, 107, 979, 60 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 419 x 17 x 107 x 979 x 60 = 358154697120
Therefore, the lowest common multiple of 838,136,214,979,480 is 358154697120.
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 136 x 214 x 979 x 480 = 11460950307840
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
136 : 1, 2, 4, 8, 17, 34, 68, 136
214 : 1, 2, 107, 214
979 : 1, 11, 89, 979
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 838,136,214,979,480, is 1.
Now, the common factors can be found like this.
838:2x 419
136:2x 2x 2x 17
214:2x 107
979:11x 89
480:2x 2x 2x 2x 2x 3x 5
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 11460950307840/(1x32)
LCM = 11460950307840/32
LCM = 358154697120
Thus, we can understand that the LCM of 838,136,214,979,480 is 358154697120.
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FAQs on LCM of 838, 136, 214, 979, 480
1. What is the LCM of 838, 136, 214, 979, 480?
Answer: LCM of 838, 136, 214, 979, 480 is 358154697120.
2. How to calculate the LCM of 838, 136, 214, 979, 480?
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, 136, 214, 979, 480.
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}.