LCM of 508, 256, 384, 219
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 256, 384, 219 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 508, 256, 384, 219. So, keep reading to learn more.
Given numbers are 508,256,384,219
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,256,384,219 is 7120128.
Find LCM of 508,256,384,219 with Prime Factorization
| 2 | 508, 256, 384, 219 |
| 2 | 254, 128, 192, 219 |
| 2 | 127, 64, 96, 219 |
| 2 | 127, 32, 48, 219 |
| 2 | 127, 16, 24, 219 |
| 2 | 127, 8, 12, 219 |
| 2 | 127, 4, 6, 219 |
| 3 | 127, 2, 3, 219 |
| 127, 2, 1, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 127 x 2 x 1 x 73 = 7120128
Therefore, the lowest common multiple of 508,256,384,219 is 7120128.
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.
508 x 256 x 384 x 219 = 10936516608
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.
508 : 1, 2, 4, 127, 254, 508
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
219 : 1, 3, 73, 219
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,256,384,219, is 1.
Now, the common factors can be found like this.
508:2x 2x 127
256:2x 2x 2x 2x 2x 2x 2x 2
384:2x 2x 2x 2x 2x 2x 2x 3
219:3x 73
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 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 10936516608/(1x1536)
LCM = 10936516608/1536
LCM = 7120128
Thus, we can understand that the LCM of 508,256,384,219 is 7120128.
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FAQs on LCM of 508, 256, 384, 219
1. What is the LCM of 508, 256, 384, 219?
Answer: LCM of 508, 256, 384, 219 is 7120128.
2. How to calculate the LCM of 508, 256, 384, 219?
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 508, 256, 384, 219.
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}.