Find the LCM of 381, 865, 218, 346, 258 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 381, 865, 218, 346, 258. So, keep reading to learn more.
Given numbers are 381,865,218,346,258
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,865,218,346,258 is 3089342310.
Find LCM of 381,865,218,346,258 with Prime Factorization
2 | 381, 865, 218, 346, 258 |
3 | 381, 865, 109, 173, 129 |
173 | 127, 865, 109, 173, 43 |
127, 5, 109, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 173 x 127 x 5 x 109 x 1 x 43 = 3089342310
Therefore, the lowest common multiple of 381,865,218,346,258 is 3089342310.
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.
381 x 865 x 218 x 346 x 258 = 6413474635560
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.
381 : 1, 3, 127, 381
865 : 1, 5, 173, 865
218 : 1, 2, 109, 218
346 : 1, 2, 173, 346
258 : 1, 2, 3, 6, 43, 86, 129, 258
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,865,218,346,258, is 1.
Now, the common factors can be found like this.
381:3x 127
865:5x 173
218:2x 109
346:2x 173
258:2x 3x 43
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 3x 173 = 2076
Therefore, the value for common factors is 2076.
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 = 6413474635560/(1x2076)
LCM = 6413474635560/2076
LCM = 3089342310
Thus, we can understand that the LCM of 381,865,218,346,258 is 3089342310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 865, 218, 346, 258?
Answer: LCM of 381, 865, 218, 346, 258 is 3089342310.
2. How to calculate the LCM of 381, 865, 218, 346, 258?
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 381, 865, 218, 346, 258.
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}.