Find the LCM of 910, 104, 423, 363, 381 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 910, 104, 423, 363, 381. So, keep reading to learn more.
Given numbers are 910,104,423,363,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 910,104,423,363,381 is 23660877240.
Find LCM of 910,104,423,363,381 with Prime Factorization
2 | 910, 104, 423, 363, 381 |
3 | 455, 52, 423, 363, 381 |
13 | 455, 52, 141, 121, 127 |
35, 4, 141, 121, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 35 x 4 x 141 x 121 x 127 = 23660877240
Therefore, the lowest common multiple of 910,104,423,363,381 is 23660877240.
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.
910 x 104 x 423 x 363 x 381 = 5536645274160
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.
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
104 : 1, 2, 4, 8, 13, 26, 52, 104
423 : 1, 3, 9, 47, 141, 423
363 : 1, 3, 11, 33, 121, 363
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 910,104,423,363,381, is 1.
Now, the common factors can be found like this.
910:2x 5x 7x 13
104:2x 2x 2x 13
423:3x 3x 47
363:3x 11x 11
381:3x 127
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 13 = 234
Therefore, the value for common factors is 234.
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 = 5536645274160/(1x234)
LCM = 5536645274160/234
LCM = 23660877240
Thus, we can understand that the LCM of 910,104,423,363,381 is 23660877240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 910, 104, 423, 363, 381?
Answer: LCM of 910, 104, 423, 363, 381 is 23660877240.
2. How to calculate the LCM of 910, 104, 423, 363, 381?
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 910, 104, 423, 363, 381.
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}.