Find the LCM of 256, 392, 412, 378, 270 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 256, 392, 412, 378, 270. So, keep reading to learn more.
Given numbers are 256,392,412,378,270
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 256,392,412,378,270 is 174424320.
Find LCM of 256,392,412,378,270 with Prime Factorization
2 | 256, 392, 412, 378, 270 |
2 | 128, 196, 206, 189, 135 |
2 | 64, 98, 103, 189, 135 |
3 | 32, 49, 103, 189, 135 |
3 | 32, 49, 103, 63, 45 |
3 | 32, 49, 103, 21, 15 |
7 | 32, 49, 103, 7, 5 |
32, 1, 103, 7, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 7 x 32 x 1 x 103 x 7 x 5 = 174424320
Therefore, the lowest common multiple of 256,392,412,378,270 is 174424320.
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.
256 x 392 x 412 x 378 x 270 = 4219673149440
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.
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
412 : 1, 2, 4, 103, 206, 412
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 256,392,412,378,270, is 2.
Now, the common factors can be found like this.
256:2x 2x 2x 2x 2x 2x 2x 2
392:2x 2x 2x 7x 7
412:2x 2x 103
378:2x 3x 3x 3x 7
270:2x 3x 3x 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 2x 2x 3x 3x 3x 7 = 12096
Therefore, the value for common factors is 12096.
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 = 4219673149440/(2x12096)
LCM = 4219673149440/24192
LCM = 174424320
Thus, we can understand that the LCM of 256,392,412,378,270 is 174424320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 256, 392, 412, 378, 270?
Answer: LCM of 256, 392, 412, 378, 270 is 174424320.
2. How to calculate the LCM of 256, 392, 412, 378, 270?
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 256, 392, 412, 378, 270.
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}.