Find the LCM of 478, 255, 890, 748, 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 478, 255, 890, 748, 381. So, keep reading to learn more.
Given numbers are 478,255,890,748,381
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,255,890,748,381 is 30309898740.
Find LCM of 478,255,890,748,381 with Prime Factorization
2 | 478, 255, 890, 748, 381 |
3 | 239, 255, 445, 374, 381 |
5 | 239, 85, 445, 374, 127 |
17 | 239, 17, 89, 374, 127 |
239, 1, 89, 22, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 239 x 1 x 89 x 22 x 127 = 30309898740
Therefore, the lowest common multiple of 478,255,890,748,381 is 30309898740.
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.
478 x 255 x 890 x 748 x 381 = 30916096714800
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.
478 : 1, 2, 239, 478
255 : 1, 3, 5, 15, 17, 51, 85, 255
890 : 1, 2, 5, 10, 89, 178, 445, 890
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
381 : 1, 3, 127, 381
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,255,890,748,381, is 1.
Now, the common factors can be found like this.
478:2x 239
255:3x 5x 17
890:2x 5x 89
748:2x 2x 11x 17
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 2x 3x 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 30916096714800/(1x1020)
LCM = 30916096714800/1020
LCM = 30309898740
Thus, we can understand that the LCM of 478,255,890,748,381 is 30309898740.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 255, 890, 748, 381?
Answer: LCM of 478, 255, 890, 748, 381 is 30309898740.
2. How to calculate the LCM of 478, 255, 890, 748, 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 478, 255, 890, 748, 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}.