Find the LCM of 395, 908, 214, 344, 788 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 395, 908, 214, 344, 788. So, keep reading to learn more.
Given numbers are 395,908,214,344,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 395,908,214,344,788 is 650176696040.
Find LCM of 395,908,214,344,788 with Prime Factorization
2 | 395, 908, 214, 344, 788 |
2 | 395, 454, 107, 172, 394 |
395, 227, 107, 86, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 395 x 227 x 107 x 86 x 197 = 650176696040
Therefore, the lowest common multiple of 395,908,214,344,788 is 650176696040.
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.
395 x 908 x 214 x 344 x 788 = 20805654273280
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.
395 : 1, 5, 79, 395
908 : 1, 2, 4, 227, 454, 908
214 : 1, 2, 107, 214
344 : 1, 2, 4, 8, 43, 86, 172, 344
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 395,908,214,344,788, is 1.
Now, the common factors can be found like this.
395:5x 79
908:2x 2x 227
214:2x 107
344:2x 2x 2x 43
788:2x 2x 197
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 2 = 32
Therefore, the value for common factors is 32.
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 = 20805654273280/(1x32)
LCM = 20805654273280/32
LCM = 650176696040
Thus, we can understand that the LCM of 395,908,214,344,788 is 650176696040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 395, 908, 214, 344, 788?
Answer: LCM of 395, 908, 214, 344, 788 is 650176696040.
2. How to calculate the LCM of 395, 908, 214, 344, 788?
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 395, 908, 214, 344, 788.
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}.