Find the LCM of 355, 776, 195, 378, 255 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 355, 776, 195, 378, 255. So, keep reading to learn more.
Given numbers are 355,776,195,378,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,776,195,378,255 is 11506524120.
Find LCM of 355,776,195,378,255 with Prime Factorization
2 | 355, 776, 195, 378, 255 |
3 | 355, 388, 195, 189, 255 |
5 | 355, 388, 65, 63, 85 |
71, 388, 13, 63, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 71 x 388 x 13 x 63 x 17 = 11506524120
Therefore, the lowest common multiple of 355,776,195,378,255 is 11506524120.
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.
355 x 776 x 195 x 378 x 255 = 5177935854000
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.
355 : 1, 5, 71, 355
776 : 1, 2, 4, 8, 97, 194, 388, 776
195 : 1, 3, 5, 13, 15, 39, 65, 195
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,776,195,378,255, is 1.
Now, the common factors can be found like this.
355:5x 71
776:2x 2x 2x 97
195:3x 5x 13
378:2x 3x 3x 3x 7
255:3x 5x 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 3x 3x 5x 5 = 450
Therefore, the value for common factors is 450.
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 = 5177935854000/(1x450)
LCM = 5177935854000/450
LCM = 11506524120
Thus, we can understand that the LCM of 355,776,195,378,255 is 11506524120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 776, 195, 378, 255?
Answer: LCM of 355, 776, 195, 378, 255 is 11506524120.
2. How to calculate the LCM of 355, 776, 195, 378, 255?
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 355, 776, 195, 378, 255.
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}.