Find the LCM of 478, 239, 382, 112, 460 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, 239, 382, 112, 460. So, keep reading to learn more.
Given numbers are 478,239,382,112,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,239,382,112,460 is 587959120.
Find LCM of 478,239,382,112,460 with Prime Factorization
2 | 478, 239, 382, 112, 460 |
2 | 239, 239, 191, 56, 230 |
239 | 239, 239, 191, 28, 115 |
1, 1, 191, 28, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 239 x 1 x 1 x 191 x 28 x 115 = 587959120
Therefore, the lowest common multiple of 478,239,382,112,460 is 587959120.
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 239 x 382 x 112 x 460 = 2248355674880
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
239 : 1, 239
382 : 1, 2, 191, 382
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,239,382,112,460, is 1.
Now, the common factors can be found like this.
478:2x 239
239:239
382:2x 191
112:2x 2x 2x 2x 7
460:2x 2x 5x 23
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 239 = 3824
Therefore, the value for common factors is 3824.
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 = 2248355674880/(1x3824)
LCM = 2248355674880/3824
LCM = 587959120
Thus, we can understand that the LCM of 478,239,382,112,460 is 587959120.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 478, 239, 382, 112, 460?
Answer: LCM of 478, 239, 382, 112, 460 is 587959120.
2. How to calculate the LCM of 478, 239, 382, 112, 460?
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, 239, 382, 112, 460.
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}.