LCM of 214, 256, 238, 792, 449
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 214, 256, 238, 792, 449 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 214, 256, 238, 792, 449. So, keep reading to learn more.
Given numbers are 214,256,238,792,449
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 214,256,238,792,449 is 144894613248.
Find LCM of 214,256,238,792,449 with Prime Factorization
| 2 | 214, 256, 238, 792, 449 |
| 2 | 107, 128, 119, 396, 449 |
| 2 | 107, 64, 119, 198, 449 |
| 107, 32, 119, 99, 449 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 107 x 32 x 119 x 99 x 449 = 144894613248
Therefore, the lowest common multiple of 214,256,238,792,449 is 144894613248.
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.
214 x 256 x 238 x 792 x 449 = 4636627623936
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.
214 : 1, 2, 107, 214
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
238 : 1, 2, 7, 14, 17, 34, 119, 238
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
449 : 1, 449
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 214,256,238,792,449, is 1.
Now, the common factors can be found like this.
214:2x 107
256:2x 2x 2x 2x 2x 2x 2x 2
238:2x 7x 17
792:2x 2x 2x 3x 3x 11
449:449
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 = 4636627623936/(1x32)
LCM = 4636627623936/32
LCM = 144894613248
Thus, we can understand that the LCM of 214,256,238,792,449 is 144894613248.
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FAQs on LCM of 214, 256, 238, 792, 449
1. What is the LCM of 214, 256, 238, 792, 449?
Answer: LCM of 214, 256, 238, 792, 449 is 144894613248.
2. How to calculate the LCM of 214, 256, 238, 792, 449?
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 214, 256, 238, 792, 449.
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}.